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972133392 = 24385323743
BaseRepresentation
bin111001111100011…
…001010000010000
32111202020111022110
4321330121100100
53442331232032
6240244105320
733042666066
oct7174312020
92452214273
10972133392
1145982022a
12231695240
13126531279
1493176036
155a5297cc
hex39f19410

972133392 has 40 divisors (see below), whose sum is σ = 2514394624. Its totient is φ = 323650944.

The previous prime is 972133363. The next prime is 972133397. The reversal of 972133392 is 293331279.

It is a self number, because there is not a number n which added to its sum of digits gives 972133392.

It is not an unprimeable number, because it can be changed into a prime (972133397) 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 7 ways as a sum of consecutive naturals, for example, 29073 + ... + 52815.

Almost surely, 2972133392 is an apocalyptic number.

It is an amenable number.

972133392 is an abundant number, since it is smaller than the sum of its proper divisors (1542261232).

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

972133392 is a wasteful number, since it uses less digits than its factorization.

972133392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24607 (or 24601 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 972133392 is about 31179.0537380466. The cubic root of 972133392 is about 990.6234864516.

The spelling of 972133392 in words is "nine hundred seventy-two million, one hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 853 1706 2559 3412 5118 6824 10236 13648 20472 23743 40944 47486 71229 94972 142458 189944 284916 379888 569832 1139664 20252779 40505558 60758337 81011116 121516674 162022232 243033348 324044464 486066696 972133392