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9004255392 = 2531183910163
BaseRepresentation
bin10000110001011001…
…00000100010100000
3212020112002120022110
420120230200202200
5121420042133032
64045252235320
7436063623306
oct103054404240
925215076273
109004255392
113900738390
1218b360bb40
13b06610192
14615c02276
1537a76c7cc
hex218b208a0

9004255392 has 96 divisors (see below), whose sum is σ = 25818186240. Its totient is φ = 2725041920.

The previous prime is 9004255367. The next prime is 9004255417. The reversal of 9004255392 is 2935524009.

It is an interprime number because it is at equal distance from previous prime (9004255367) and next prime (9004255417).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90042553922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9004255392.

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, 880903 + ... + 891065.

It is an arithmetic number, because the mean of its divisors is an integer number (268939440).

Almost surely, 29004255392 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 9004255392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909093120).

9004255392 is an abundant number, since it is smaller than the sum of its proper divisors (16813930848).

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

9004255392 is a wasteful number, since it uses less digits than its factorization.

9004255392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 11018 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 9004255392 is about 94890.7550396771. The cubic root of 9004255392 is about 2080.4116073984.

The spelling of 9004255392 in words is "nine billion, four million, two hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 839 1056 1678 2517 3356 5034 6712 9229 10068 10163 13424 18458 20136 20326 26848 27687 30489 36916 40272 40652 55374 60978 73832 80544 81304 110748 111793 121956 147664 162608 221496 223586 243912 295328 325216 335379 442992 447172 487824 670758 885984 894344 975648 1341516 1788688 2683032 3577376 5366064 8526757 10732128 17053514 25580271 34107028 51160542 68214056 93794327 102321084 136428112 187588654 204642168 272856224 281382981 375177308 409284336 562765962 750354616 818568672 1125531924 1500709232 2251063848 3001418464 4502127696 9004255392