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972129408 = 27323110069
BaseRepresentation
bin111001111100011…
…000010010000000
32111202020021211220
4321330120102000
53442331120113
6240244035040
733042651345
oct7174302200
92452207756
10972129408
11459818238
12231692a80
1312652c503
14931747cc
155a528523
hex39f18480

972129408 has 64 divisors (see below), whose sum is σ = 2694513600. Its totient is φ = 309951488.

The previous prime is 972129397. The next prime is 972129413. The reversal of 972129408 is 804921279.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 972129408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46203 + ... + 63866.

It is an arithmetic number, because the mean of its divisors is an integer number (42101775).

Almost surely, 2972129408 is an apocalyptic number.

It is an amenable number.

972129408 is an abundant number, since it is smaller than the sum of its proper divisors (1722384192).

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

972129408 is a wasteful number, since it uses less digits than its factorization.

972129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110109 (or 110097 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 972129408 is about 31178.9898489351. The cubic root of 972129408 is about 990.6221331910.

The spelling of 972129408 in words is "nine hundred seventy-two million, one hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 110069 220138 330207 440276 660414 880552 1320828 1761104 2531587 2641656 3522208 5063174 5283312 7044416 7594761 10126348 10566624 14088832 15189522 20252696 21133248 30379044 40505392 42266496 60758088 81010784 121516176 162021568 243032352 324043136 486064704 972129408