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97741824 = 210331817
BaseRepresentation
bin1011101001101…
…10110000000000
320210220210120120
411310312300000
5200010214244
613410540240
72264535405
oct564666000
9223823516
1097741824
1150199974
1228897680
13173329cb
14cda42ac
1588aa819
hex5d36c00

97741824 has 44 divisors (see below), whose sum is σ = 260525784. Its totient is φ = 32579584.

The previous prime is 97741807. The next prime is 97741829. The reversal of 97741824 is 42814779.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97741829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12837 + ... + 18980.

Almost surely, 297741824 is an apocalyptic number.

It is an amenable number.

97741824 is an abundant number, since it is smaller than the sum of its proper divisors (162783960).

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

97741824 is a wasteful number, since it uses less digits than its factorization.

97741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840 (or 31822 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 97741824 is about 9886.4464799037. The cubic root of 97741824 is about 460.6384078461.

The spelling of 97741824 in words is "ninety-seven million, seven hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 31817 63634 95451 127268 190902 254536 381804 509072 763608 1018144 1527216 2036288 3054432 4072576 6108864 8145152 12217728 16290304 24435456 32580608 48870912 97741824