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97865248 = 2513435471
BaseRepresentation
bin1011101010101…
…00111000100000
320211011001212211
411311110320200
5200023141443
613413331504
72265561265
oct565247040
9224131784
1097865248
1150273678
1228936b94
1317376c40
14cdd726c
1588d219d
hex5d54e20

97865248 has 48 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 44110080.

The previous prime is 97865231. The next prime is 97865249. The reversal of 97865248 is 84256879.

It is a super-2 number, since 2×978652482 = 19155213532203008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97865249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15153 + ... + 20623.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 297865248 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 97865248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

97865248 is an abundant number, since it is smaller than the sum of its proper divisors (114492128).

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

97865248 is a wasteful number, since it uses less digits than its factorization.

97865248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5529 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 97865248 is about 9892.6865916191. The cubic root of 97865248 is about 460.8322174780.

The spelling of 97865248 in words is "ninety-seven million, eight hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 5471 8944 10942 17888 21884 43768 71123 87536 142246 175072 235253 284492 470506 568984 941012 1137968 1882024 2275936 3058289 3764048 6116578 7528096 12233156 24466312 48932624 97865248