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10492992 = 263218217
BaseRepresentation
bin101000000001…
…110001000000
3201202002200100
4220001301000
510141233432
61012522400
7155121546
oct50016100
921662610
1010492992
115a175a4
123620400
132235093
141571d96
15dc407c
hexa01c40

10492992 has 42 divisors (see below), whose sum is σ = 30077918. Its totient is φ = 3497472.

The previous prime is 10492987. The next prime is 10493033. The reversal of 10492992 is 29929401.

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 2742336 = 2784^2 + 1656^2 .

It is a super-2 number, since 2×104929922 = 220205762224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8533 + ... + 9684.

Almost surely, 210492992 is an apocalyptic number.

10492992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10492992 is an abundant number, since it is smaller than the sum of its proper divisors (19584926).

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

10492992 is a wasteful number, since it uses less digits than its factorization.

10492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18235 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10492992 is about 3239.2888108349. The cubic root of 10492992 is about 218.9272292153.

It can be divided in two parts, 104 and 92992, that added together give a triangular number (93096 = T431).

The spelling of 10492992 in words is "ten million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18217 36434 54651 72868 109302 145736 163953 218604 291472 327906 437208 582944 655812 874416 1165888 1311624 1748832 2623248 3497664 5246496 10492992