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97342624 = 2519236961
BaseRepresentation
bin1011100110101…
…01010010100000
320210011111222101
411303111102200
5144404430444
613354220144
72261253511
oct563252240
9223144871
1097342624
114aa46a55
1228724654
13172230b2
14ccdca08
15882c3d4
hex5cd54a0

97342624 has 48 divisors (see below), whose sum is σ = 210530880. Its totient is φ = 44098560.

The previous prime is 97342613. The next prime is 97342627. The reversal of 97342624 is 42624379.

It is not an unprimeable number, because it can be changed into a prime (97342627) 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, 10504 + ... + 17464.

It is an arithmetic number, because the mean of its divisors is an integer number (4386060).

Almost surely, 297342624 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 97342624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105265440).

97342624 is an abundant number, since it is smaller than the sum of its proper divisors (113188256).

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

97342624 is a wasteful number, since it uses less digits than its factorization.

97342624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7005 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 97342624 is about 9866.2365672023. The cubic root of 97342624 is about 460.0104345459.

The spelling of 97342624 in words is "ninety-seven million, three hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6961 6992 13922 13984 27844 55688 111376 132259 160103 222752 264518 320206 529036 640412 1058072 1280824 2116144 2561648 3041957 4232288 5123296 6083914 12167828 24335656 48671312 97342624