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97417376 = 2573114029
BaseRepresentation
bin1011100111001…
…11100010100000
320210022022111222
411303213202200
5144414324001
613355554212
72262014450
oct563474240
9223268458
1097417376
114aa98131
122875b968
131724b124
14cd1bd60
15884461b
hex5ce78a0

97417376 has 48 divisors (see below), whose sum is σ = 226275840. Its totient is φ = 40400640.

The previous prime is 97417301. The next prime is 97417381. The reversal of 97417376 is 67371479.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (4714080).

Almost surely, 297417376 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 97417376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113137920).

97417376 is an abundant number, since it is smaller than the sum of its proper divisors (128858464).

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

97417376 is a wasteful number, since it uses less digits than its factorization.

97417376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077 (or 14069 counting only the distinct ones).

The product of its digits is 222264, while the sum is 44.

The square root of 97417376 is about 9870.0241134457. The cubic root of 97417376 is about 460.1281558489.

The spelling of 97417376 in words is "ninety-seven million, four hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 14029 28058 56116 98203 112232 196406 224464 392812 434899 448928 785624 869798 1571248 1739596 3044293 3142496 3479192 6088586 6958384 12177172 13916768 24354344 48708688 97417376