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97000032 = 2538911353
BaseRepresentation
bin1011100100000…
…01101001100000
320202112010000210
411302001221200
5144313000112
613343014120
72255325633
oct562015140
9222463023
1097000032
114a832618
122859a340
131713318c
14cc4dc1a
1587b0b3c
hex5c81a60

97000032 has 48 divisors (see below), whose sum is σ = 257508720. Its totient is φ = 31967232.

The previous prime is 97000021. The next prime is 97000037. The reversal of 97000032 is 23000079.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 96999972 and 97000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97000037) 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, 2868 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (5364765).

Almost surely, 297000032 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 97000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754360).

97000032 is an abundant number, since it is smaller than the sum of its proper divisors (160508688).

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

97000032 is a wasteful number, since it uses less digits than its factorization.

97000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 97000032 is about 9848.8594263498. The cubic root of 97000032 is about 459.4701397466.

The spelling of 97000032 in words is "ninety-seven million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 11353 22706 34059 45412 68118 90824 136236 181648 272472 363296 544944 1010417 1089888 2020834 3031251 4041668 6062502 8083336 12125004 16166672 24250008 32333344 48500016 97000032