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3208813056 = 29368597
BaseRepresentation
bin1011111101000010…
…1001101000000000
322021121221121000000
42333100221220000
523032424004211
61250224000000
7142342314051
oct27720515000
98247847000
103208813056
1113a7322819
12756760000
133c1a36067
14226240728
1513ba8e656
hexbf429a00

3208813056 has 140 divisors (see below), whose sum is σ = 9613759122. Its totient is φ = 1069479936.

The previous prime is 3208813051. The next prime is 3208813061. The reversal of 3208813056 is 6503188023.

It is an interprime number because it is at equal distance from previous prime (3208813051) and next prime (3208813061).

It can be written as a sum of positive squares in only one way, i.e., 2468102400 + 740710656 = 49680^2 + 27216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3208813056.

It is not an unprimeable number, because it can be changed into a prime (3208813051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 368950 + ... + 377546.

Almost surely, 23208813056 is an apocalyptic number.

3208813056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3208813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806879561).

3208813056 is an abundant number, since it is smaller than the sum of its proper divisors (6404946066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3208813056 is an frugal number, since it uses more digits than its factorization.

3208813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3208813056 is about 56646.3860806671. The cubic root of 3208813056 is about 1474.9641750947.

The spelling of 3208813056 in words is "three billion, two hundred eight million, eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 8597 10368 11664 13824 15552 17194 20736 23328 25791 31104 34388 41472 46656 51582 62208 68776 77373 93312 103164 124416 137552 154746 186624 206328 232119 275104 309492 373248 412656 464238 550208 618984 696357 825312 928476 1100416 1237968 1392714 1650624 1856952 2089071 2200832 2475936 2785428 3301248 3713904 4178142 4401664 4951872 5570856 6267213 6602496 7427808 8356284 9903744 11141712 12534426 13204992 14855616 16712568 19807488 22283424 25068852 29711232 33425136 39614976 44566848 50137704 59422464 66850272 89133696 100275408 118844928 133700544 178267392 200550816 267401088 356534784 401101632 534802176 802203264 1069604352 1604406528 3208813056