Search a number
-
+
4408222848 = 273531671297
BaseRepresentation
bin1000001101100000…
…00010010010000000
3102101012211220220220
410012300002102000
533012001112343
62005231303040
7214145163441
oct40660022200
912335756826
104408222848
111962366087
12a3037aa80
135533819b3
142db6592c8
151ac010183
hex106c02480

4408222848 has 128 divisors (see below), whose sum is σ = 12010965120. Its totient is φ = 1431945216.

The previous prime is 4408222837. The next prime is 4408222913. The reversal of 4408222848 is 8482228044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×44082228482 = 38864857355258462208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3398136 + ... + 3399432.

It is an arithmetic number, because the mean of its divisors is an integer number (93835665).

Almost surely, 24408222848 is an apocalyptic number.

4408222848 is a gapful number since it is divisible by the number (48) 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 4408222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005482560).

4408222848 is an abundant number, since it is smaller than the sum of its proper divisors (7602742272).

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

4408222848 is a wasteful number, since it uses less digits than its factorization.

4408222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The square root of 4408222848 is about 66394.4489245901. The cubic root of 4408222848 is about 1639.6626869225.

The spelling of 4408222848 in words is "four billion, four hundred eight million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 167 192 212 318 334 384 424 501 636 668 848 1002 1272 1297 1336 1696 2004 2544 2594 2672 3392 3891 4008 5088 5188 5344 6784 7782 8016 8851 10176 10376 10688 15564 16032 17702 20352 20752 21376 26553 31128 32064 35404 41504 53106 62256 64128 68741 70808 83008 106212 124512 137482 141616 166016 206223 212424 216599 249024 274964 283232 412446 424848 433198 498048 549928 566464 649797 824892 849696 866396 1099856 1132928 1299594 1649784 1699392 1732792 2199712 2599188 3299568 3398784 3465584 4399424 5198376 6599136 6931168 8798848 10396752 11479747 13198272 13862336 20793504 22959494 26396544 27724672 34439241 41587008 45918988 68878482 83174016 91837976 137756964 183675952 275513928 367351904 551027856 734703808 1102055712 1469407616 2204111424 4408222848