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97064576 = 277127853
BaseRepresentation
bin1011100100100…
…01011010000000
320202122101120022
411302101122000
5144322031301
613344233012
72256015050
oct562213200
9222571508
1097064576
114a877064
122860b768
131715667b
14cc69560
1587c4d1b
hex5c91680

97064576 has 64 divisors (see below), whose sum is σ = 222996480. Its totient is φ = 41223168.

The previous prime is 97064573. The next prime is 97064587. The reversal of 97064576 is 67546079.

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

It is not an unprimeable number, because it can be changed into a prime (97064573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113366 + ... + 114218.

It is an arithmetic number, because the mean of its divisors is an integer number (3484320).

Almost surely, 297064576 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 97064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111498240).

97064576 is an abundant number, since it is smaller than the sum of its proper divisors (125931904).

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

97064576 is a wasteful number, since it uses less digits than its factorization.

97064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 97064576 is about 9852.1356060501. The cubic root of 97064576 is about 459.5720279103.

The spelling of 97064576 in words is "ninety-seven million, sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 448 508 853 889 896 1016 1706 1778 2032 3412 3556 4064 5971 6824 7112 8128 11942 13648 14224 16256 23884 27296 28448 47768 54592 56896 95536 108331 109184 113792 191072 216662 382144 433324 758317 764288 866648 1516634 1733296 3033268 3466592 6066536 6933184 12133072 13866368 24266144 48532288 97064576