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97865352 = 233213195503
BaseRepresentation
bin1011101010101…
…00111010001000
320211011002000200
411311110322020
5200023142402
613413332200
72265561504
oct565247210
9224132020
1097865352
1150273762
1228937060
1317376cc0
14cdd7304
1588d221c
hex5d54e88

97865352 has 96 divisors (see below), whose sum is σ = 300518400. Its totient is φ = 28522368.

The previous prime is 97865351. The next prime is 97865353. The reversal of 97865352 is 25356879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97865351) and next prime (97865353).

It is a junction number, because it is equal to n+sod(n) for n = 97865298 and 97865307.

It is not an unprimeable number, because it can be changed into a prime (97865351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15033 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (3130400).

Almost surely, 297865352 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 97865352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150259200).

97865352 is an abundant number, since it is smaller than the sum of its proper divisors (202653048).

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

97865352 is a wasteful number, since it uses less digits than its factorization.

97865352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5540 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97865352 is about 9892.6918480260. The cubic root of 97865352 is about 460.8323807179.

The spelling of 97865352 in words is "ninety-seven million, eight hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5503 5928 8892 11006 16509 17784 22012 33018 44024 49527 66036 71539 99054 104557 132072 143078 198108 209114 214617 286156 313671 396216 418228 429234 572312 627342 643851 836456 858468 941013 1254684 1287702 1359241 1716936 1882026 2509368 2575404 2718482 3764052 4077723 5150808 5436964 7528104 8155446 10873928 12233169 16310892 24466338 32621784 48932676 97865352