Search a number
-
+
3208405056 = 263192338239
BaseRepresentation
bin1011111100111100…
…0110000001000000
322021121011212022220
42333033012001000
523032322430211
61250211131040
7142335664413
oct27717060100
98247155286
103208405056
1113a707422a
127565a3a80
133c192243c
14226175b7a
1513ba0d806
hexbf3c6040

3208405056 has 112 divisors (see below), whose sum is σ = 9324441600. Its totient is φ = 969103872.

The previous prime is 3208405051. The next prime is 3208405093. The reversal of 3208405056 is 6505048023.

It is not an unprimeable number, because it can be changed into a prime (3208405051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64785 + ... + 103023.

Almost surely, 23208405056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3208405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662220800).

3208405056 is an abundant number, since it is smaller than the sum of its proper divisors (6116036544).

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

3208405056 is a wasteful number, since it uses less digits than its factorization.

3208405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38296 (or 38286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3208405056 is about 56642.7846773091. The cubic root of 3208405056 is about 1474.9016586355.

The spelling of 3208405056 in words is "three billion, two hundred eight million, four hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 736 874 912 1104 1216 1311 1472 1748 1824 2208 2622 3496 3648 4416 5244 6992 10488 13984 20976 27968 38239 41952 76478 83904 114717 152956 229434 305912 458868 611824 726541 879497 917736 1223648 1453082 1758994 1835472 2179623 2447296 2638491 2906164 3517988 3670944 4359246 5276982 5812328 7035976 7341888 8718492 10553964 11624656 14071952 16710443 17436984 21107928 23249312 28143904 33420886 34873968 42215856 46498624 50131329 56287808 66841772 69747936 84431712 100262658 133683544 139495872 168863424 200525316 267367088 401050632 534734176 802101264 1069468352 1604202528 3208405056