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2004033056 = 2519231391031
BaseRepresentation
bin111011101110011…
…0001111000100000
312011122221102112112
41313130301320200
513101013024211
6530505214452
7100442666654
oct16734617040
95148842475
102004033056
11939251773
1247b191428
1325c259c9c
14150228a64
15bae0c88b
hex77731e20

2004033056 has 96 divisors (see below), whose sum is σ = 4369075200. Its totient is φ = 900599040.

The previous prime is 2004032977. The next prime is 2004033071. The reversal of 2004033056 is 6503304002.

It is a super-2 number, since 2×20040330562 = 8032296979081398272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 1943261 + ... + 1944291.

It is an arithmetic number, because the mean of its divisors is an integer number (45511200).

Almost surely, 22004033056 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 2004033056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184537600).

2004033056 is an abundant number, since it is smaller than the sum of its proper divisors (2365042144).

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

2004033056 is a wasteful number, since it uses less digits than its factorization.

2004033056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2004033056 is about 44766.4277779677. The cubic root of 2004033056 is about 1260.7673699651.

Adding to 2004033056 its reverse (6503304002), we get a palindrome (8507337058).

The spelling of 2004033056 in words is "two billion, four million, thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 139 152 184 278 304 368 437 556 608 736 874 1031 1112 1748 2062 2224 2641 3197 3496 4124 4448 5282 6394 6992 8248 10564 12788 13984 16496 19589 21128 23713 25576 32992 39178 42256 47426 51152 60743 78356 84512 94852 102304 121486 143309 156712 189704 242972 286618 313424 379408 450547 485944 573236 626848 758816 901094 971888 1146472 1802188 1943776 2292944 2722871 3296107 3604376 4585888 5445742 6592214 7208752 10891484 13184428 14417504 21782968 26368856 43565936 52737712 62626033 87131872 105475424 125252066 250504132 501008264 1002016528 2004033056