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97656252 = 22323675281
BaseRepresentation
bin1011101001000…
…01110110111100
320210202110012020
411310201312330
5200000000002
613405040140
72264031051
oct564416674
9223673166
1097656252
1150140651
1228856050
1317302a85
14cd81028
1588902bc
hex5d21dbc

97656252 has 48 divisors (see below), whose sum is σ = 241366272. Its totient is φ = 30666240.

The previous prime is 97656233. The next prime is 97656277. The reversal of 97656252 is 25265679.

97656252 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15852 + ... + 21132.

It is an arithmetic number, because the mean of its divisors is an integer number (5028464).

Almost surely, 297656252 is an apocalyptic number.

97656252 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97656252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120683136).

97656252 is an abundant number, since it is smaller than the sum of its proper divisors (143710020).

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

97656252 is a wasteful number, since it uses less digits than its factorization.

97656252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5376 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 97656252 is about 9882.1177892191. The cubic root of 97656252 is about 460.5039404738.

The spelling of 97656252 in words is "ninety-seven million, six hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 3082 4623 5281 6164 9246 10562 15843 18492 21124 31686 63372 121463 242926 353827 364389 485852 707654 728778 1061481 1415308 1457556 2122962 4245924 8138021 16276042 24414063 32552084 48828126 97656252