Search a number
-
+
97850088 = 233271491303
BaseRepresentation
bin1011101010100…
…01001011101000
320211010022002100
411311101023220
5200022200323
613413133400
72265466140
oct565211350
9224108070
1097850088
1150263246
122892a260
131737007b
14cdd1920
1588cc943
hex5d512e8

97850088 has 96 divisors (see below), whose sum is σ = 305136000. Its totient is φ = 27748224.

The previous prime is 97850047. The next prime is 97850107. The reversal of 97850088 is 88005879.

It is an unprimeable number.

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, 74445 + ... + 75747.

It is an arithmetic number, because the mean of its divisors is an integer number (3178500).

Almost surely, 297850088 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 97850088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568000).

97850088 is an abundant number, since it is smaller than the sum of its proper divisors (207285912).

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

97850088 is a wasteful number, since it uses less digits than its factorization.

97850088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 97850088 is about 9891.9203393477. The cubic root of 97850088 is about 460.8084208892.

The spelling of 97850088 in words is "ninety-seven million, eight hundred fifty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 447 504 596 894 1043 1192 1303 1341 1788 2086 2606 2682 3129 3576 3909 4172 5212 5364 6258 7818 8344 9121 9387 10424 10728 11727 12516 15636 18242 18774 23454 25032 27363 31272 36484 37548 46908 54726 72968 75096 82089 93816 109452 164178 194147 218904 328356 388294 582441 656712 776588 1164882 1359029 1553176 1747323 2329764 2718058 3494646 4077087 4659528 5436116 6989292 8154174 10872232 12231261 13978584 16308348 24462522 32616696 48925044 97850088