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97134992 = 2419267251
BaseRepresentation
bin1011100101000…
…10100110010000
320202202222011022
411302202212100
5144331304432
613345535012
72256430253
oct562424620
9222688138
1097134992
114a914a59
1228644468
131717c736
14cc8709a
1587dab12
hex5ca2990

97134992 has 60 divisors (see below), whose sum is σ = 202393296. Its totient is φ = 45144000.

The previous prime is 97134977. The next prime is 97135019. The reversal of 97134992 is 29943179.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386867 + ... + 387117.

Almost surely, 297134992 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 97134992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101196648).

97134992 is an abundant number, since it is smaller than the sum of its proper divisors (105258304).

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

97134992 is a wasteful number, since it uses less digits than its factorization.

97134992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its digits is 122472, while the sum is 44.

The square root of 97134992 is about 9855.7085995884. The cubic root of 97134992 is about 459.6831340174.

The spelling of 97134992 in words is "ninety-seven million, one hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 251 268 304 361 502 536 722 1004 1072 1273 1444 2008 2546 2888 4016 4769 5092 5776 9538 10184 16817 19076 20368 24187 33634 38152 48374 67268 76304 90611 96748 134536 181222 193496 269072 319523 362444 386992 639046 724888 1278092 1449776 2556184 5112368 6070937 12141874 24283748 48567496 97134992