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97329012 = 223112173943
BaseRepresentation
bin1011100110100…
…01111101110100
320210010211022020
411303101331310
5144404012022
613354033140
72261166024
oct563217564
9223124266
1097329012
114aa37800
12287187b0
1317219b41
14ccd7a84
15882835c
hex5cd1f74

97329012 has 72 divisors (see below), whose sum is σ = 264374208. Its totient is φ = 27751680.

The previous prime is 97328999. The next prime is 97329053. The reversal of 97329012 is 21092379.

It is a super-2 number, since 2×973290122 = 18945873153792288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22713 + ... + 26655.

It is an arithmetic number, because the mean of its divisors is an integer number (3671864).

Almost surely, 297329012 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 97329012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132187104).

97329012 is an abundant number, since it is smaller than the sum of its proper divisors (167045196).

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

97329012 is a wasteful number, since it uses less digits than its factorization.

97329012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 97329012 is about 9865.5467157173. The cubic root of 97329012 is about 459.9889915450.

The spelling of 97329012 in words is "ninety-seven million, three hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 3943 4114 6171 7886 8228 11829 12342 15772 23658 24684 43373 47316 67031 86746 130119 134062 173492 201093 260238 268124 402186 477103 520476 737341 804372 954206 1431309 1474682 1908412 2212023 2862618 2949364 4424046 5725236 8110751 8848092 16221502 24332253 32443004 48664506 97329012