Search a number
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.

It can be divided in two parts, 9789 and 1236, that added together give a square (11025 = 1052).

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".