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97922052 = 223210492593
BaseRepresentation
bin1011101011000…
…10110000000100
320211020221210200
411311202300010
5200032001202
613414450500
72266216014
oct565426004
9224227720
1097922052
1150302318
1228963a30
1317396a57
14d00dc44
1588e3e1c
hex5d62c04

97922052 has 36 divisors (see below), whose sum is σ = 247856700. Its totient is φ = 32596992.

The previous prime is 97922039. The next prime is 97922053. The reversal of 97922052 is 25022979.

It can be written as a sum of positive squares in 2 ways, for example, as 75794436 + 22127616 = 8706^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97921998 and 97922016.

It is not an unprimeable number, because it can be changed into a prime (97922053) 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 11 ways as a sum of consecutive naturals, for example, 36468 + ... + 39060.

Almost surely, 297922052 is an apocalyptic number.

It is an amenable number.

97922052 is an abundant number, since it is smaller than the sum of its proper divisors (149934648).

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

97922052 is a wasteful number, since it uses less digits than its factorization.

97922052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97922052 is about 9895.5571849189. The cubic root of 97922052 is about 460.9213606307.

The spelling of 97922052 in words is "ninety-seven million, nine hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 2593 3147 4196 5186 6294 7779 9441 10372 12588 15558 18882 23337 31116 37764 46674 93348 2720057 5440114 8160171 10880228 16320342 24480513 32640684 48961026 97922052