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97492864 = 277532053
BaseRepresentation
bin1011100111110…
…01111110000000
320210110011001211
411303321332000
5144424232424
613401335504
72262450520
oct563717600
9223404054
1097492864
1150039917
1228797594
13172765b1
14cd3b680
15885bb94
hex5cf9f80

97492864 has 64 divisors (see below), whose sum is σ = 226268640. Its totient is φ = 40974336.

The previous prime is 97492859. The next prime is 97492903. The reversal of 97492864 is 46829479.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46462 + ... + 48514.

Almost surely, 297492864 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 97492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113134320).

97492864 is an abundant number, since it is smaller than the sum of its proper divisors (128775776).

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

97492864 is a wasteful number, since it uses less digits than its factorization.

97492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2115 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 97492864 is about 9873.8474770476. The cubic root of 97492864 is about 460.2469751252.

The spelling of 97492864 in words is "ninety-seven million, four hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2053 2968 3392 4106 5936 6784 8212 11872 14371 16424 23744 28742 32848 47488 57484 65696 108809 114968 131392 217618 229936 262784 435236 459872 761663 870472 919744 1523326 1740944 1839488 3046652 3481888 6093304 6963776 12186608 13927552 24373216 48746432 97492864