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10292472 = 2332163877
BaseRepresentation
bin100111010000…
…110011111000
3201100220121200
4213100303320
510113324342
61004334200
7153325131
oct47206370
921326550
1010292472
11589a983
123544360
132194a28
14151cc88
15d8494c
hex9d0cf8

10292472 has 48 divisors (see below), whose sum is σ = 28078440. Its totient is φ = 3405888.

The previous prime is 10292459. The next prime is 10292507. The reversal of 10292472 is 27429201.

10292472 is a `hidden beast` number, since 102 + 92 + 472 = 666.

10292472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11298 + ... + 12174.

Almost surely, 210292472 is an apocalyptic number.

10292472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10292472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039220).

10292472 is an abundant number, since it is smaller than the sum of its proper divisors (17785968).

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

10292472 is a wasteful number, since it uses less digits than its factorization.

10292472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10292472 is about 3208.1882737770. The cubic root of 10292472 is about 217.5236914344.

The spelling of 10292472 in words is "ten million, two hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 877 978 1304 1467 1754 1956 2631 2934 3508 3912 5262 5868 7016 7893 10524 11736 15786 21048 31572 63144 142951 285902 428853 571804 857706 1143608 1286559 1715412 2573118 3430824 5146236 10292472