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92002872 = 233131312251
BaseRepresentation
bin1010111101111…
…01101000111000
320102010020012210
411132331220320
5142023042442
613043535120
72165003643
oct536755070
9212106183
1092002872
1147a2a135
122698a4a0
13160a3790
14c30ca5a
15812519c
hex57bda38

92002872 has 64 divisors (see below), whose sum is σ = 249701760. Its totient is φ = 28080000.

The previous prime is 92002871. The next prime is 92002891. The reversal of 92002872 is 27820029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92002871) 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, 39747 + ... + 41997.

It is an arithmetic number, because the mean of its divisors is an integer number (3901590).

Almost surely, 292002872 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 92002872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124850880).

92002872 is an abundant number, since it is smaller than the sum of its proper divisors (157698888).

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

92002872 is a wasteful number, since it uses less digits than its factorization.

92002872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 92002872 is about 9591.8127588063. The cubic root of 92002872 is about 451.4404410473.

The spelling of 92002872 in words is "ninety-two million, two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 262 312 393 524 786 1048 1572 1703 2251 3144 3406 4502 5109 6753 6812 9004 10218 13506 13624 18008 20436 27012 29263 40872 54024 58526 87789 117052 175578 234104 294881 351156 589762 702312 884643 1179524 1769286 2359048 3538572 3833453 7077144 7666906 11500359 15333812 23000718 30667624 46001436 92002872