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97891236 = 2232172972
BaseRepresentation
bin1011101010110…
…11001110100100
320211012101112100
411311123032210
5200030004421
613414052100
72266030122
oct565331644
9224171470
1097891236
1150291153
122894a030
1317385a11
14d002912
1588d9c26
hex5d5b3a4

97891236 has 81 divisors (see below), whose sum is σ = 265597059. Its totient is φ = 30394368.

The previous prime is 97891223. The next prime is 97891237. The reversal of 97891236 is 63219879.

The square root of 97891236 is 9894.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 92160000 = 2394^2 + 9600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97891191 and 97891200.

It is not an unprimeable number, because it can be changed into a prime (97891237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1009140 + ... + 1009236.

Almost surely, 297891236 is an apocalyptic number.

97891236 is the 9894-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97891236

97891236 is an abundant number, since it is smaller than the sum of its proper divisors (167705823).

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

97891236 is a wasteful number, since it uses less digits than its factorization.

97891236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The cubic root of 97891236 is about 460.8730050166.

The spelling of 97891236 in words is "ninety-seven million, eight hundred ninety-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 289 291 306 388 578 582 612 867 873 1156 1164 1649 1734 1746 2601 3298 3468 3492 4947 5202 6596 9409 9894 10404 14841 18818 19788 28033 28227 29682 37636 56066 56454 59364 84099 84681 112132 112908 159953 168198 169362 252297 319906 336396 338724 479859 504594 639812 959718 1009188 1439577 1919436 2719201 2879154 5438402 5758308 8157603 10876804 16315206 24472809 32630412 48945618 97891236