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92972472 = 23319316577
BaseRepresentation
bin1011000101010…
…10010110111000
320110221111020220
411202222112320
5142300104342
613120420040
72206152525
oct542522670
9213844226
1092972472
114853165a
1227177620
1316352bc8
14c4c214c
1582675ec
hex58aa5b8

92972472 has 64 divisors (see below), whose sum is σ = 252595200. Its totient is φ = 28408320.

The previous prime is 92972471. The next prime is 92972489. The reversal of 92972472 is 27427929.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92972471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10848 + ... + 17424.

It is an arithmetic number, because the mean of its divisors is an integer number (3946800).

Almost surely, 292972472 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 92972472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126297600).

92972472 is an abundant number, since it is smaller than the sum of its proper divisors (159622728).

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

92972472 is a wasteful number, since it uses less digits than its factorization.

92972472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6632 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 92972472 is about 9642.2233950474. The cubic root of 92972472 is about 453.0207827353.

The spelling of 92972472 in words is "ninety-two million, nine hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 6577 7068 13154 14136 19731 26308 39462 52616 78924 124963 157848 203887 249926 374889 407774 499852 611661 749778 815548 999704 1223322 1499556 1631096 2446644 2999112 3873853 4893288 7747706 11621559 15495412 23243118 30990824 46486236 92972472