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492207872 = 28131311129
BaseRepresentation
bin11101010101100…
…111111100000000
31021022011202021012
4131111213330000
52002001122442
6120501420052
715124461242
oct3525477400
91238152235
10492207872
11232925072
12118a0a628
137ac87480
1449528092
152d329582
hex1d567f00

492207872 has 72 divisors (see below), whose sum is σ = 1067090640. Its totient is φ = 225239040.

The previous prime is 492207871. The next prime is 492207887. The reversal of 492207872 is 278702294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492207871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435404 + ... + 436532.

Almost surely, 2492207872 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 492207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533545320).

492207872 is an abundant number, since it is smaller than the sum of its proper divisors (574882768).

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

492207872 is a wasteful number, since it uses less digits than its factorization.

492207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 492207872 is about 22185.7583147388. The cubic root of 492207872 is about 789.5558428374. Note that the first 3 decimals are identical.

The spelling of 492207872 in words is "four hundred ninety-two million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 256 262 416 524 832 1048 1129 1664 1703 2096 2258 3328 3406 4192 4516 6812 8384 9032 13624 14677 16768 18064 27248 29354 33536 36128 54496 58708 72256 108992 117416 144512 147899 217984 234832 289024 295798 435968 469664 591596 939328 1183192 1878656 1922687 2366384 3757312 3845374 4732768 7690748 9465536 15381496 18931072 30762992 37862144 61525984 123051968 246103936 492207872