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97578240 = 283525411
BaseRepresentation
bin1011101000011…
…10110100000000
320210121111011220
411310032310000
5144440000430
613403235040
72263254444
oct564166400
9223544156
1097578240
1150097a81
1228818a80
13172a6406
14cd60824
158877110
hex5d0ed00

97578240 has 72 divisors (see below), whose sum is σ = 311652768. Its totient is φ = 26019840.

The previous prime is 97578209. The next prime is 97578253. The reversal of 97578240 is 4287579.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 97578192 and 97578201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8866 + ... + 16545.

Almost surely, 297578240 is an apocalyptic number.

It is an amenable number.

97578240 is an abundant number, since it is smaller than the sum of its proper divisors (214074528).

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

97578240 is a wasteful number, since it uses less digits than its factorization.

97578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25435 (or 25421 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 97578240 is about 9878.1698709832. The cubic root of 97578240 is about 460.3812843781.

The spelling of 97578240 in words is "ninety-seven million, five hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 25411 50822 76233 101644 127055 152466 203288 254110 304932 381165 406576 508220 609864 762330 813152 1016440 1219728 1524660 1626304 2032880 2439456 3049320 3252608 4065760 4878912 6098640 6505216 8131520 9757824 12197280 16263040 19515648 24394560 32526080 48789120 97578240