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972093087 = 32753347839
BaseRepresentation
bin111001111100001…
…111011010011111
32111202011110000200
4321330033122133
53442323434322
6240243154543
733042440430
oct7174173237
92452143020
10972093087
114597a2a19
12231675a53
13126518b14
1493165487
155a51c8ac
hex39f0f69f

972093087 has 48 divisors (see below), whose sum is σ = 1641669120. Its totient is φ = 542782656.

The previous prime is 972093077. The next prime is 972093103. The reversal of 972093087 is 780390279.

It is not a de Polignac number, because 972093087 - 212 = 972088991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972093007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158214 + ... + 1159052.

It is an arithmetic number, because the mean of its divisors is an integer number (34201440).

Almost surely, 2972093087 is an apocalyptic number.

972093087 is a deficient number, since it is larger than the sum of its proper divisors (669576033).

972093087 is a wasteful number, since it uses less digits than its factorization.

972093087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 972093087 is about 31178.4073839573. The cubic root of 972093087 is about 990.6097957271.

The spelling of 972093087 in words is "nine hundred seventy-two million, ninety-three thousand, eighty-seven".

Divisors: 1 3 7 9 21 53 63 159 347 371 477 839 1041 1113 2429 2517 3123 3339 5873 7287 7551 17619 18391 21861 44467 52857 55173 128737 133401 165519 291133 311269 386211 400203 873399 933807 1158633 2037931 2620197 2801421 6113793 15430049 18341379 46290147 108010343 138870441 324031029 972093087