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97881372 = 223767167
BaseRepresentation
bin1011101010110…
…00110100011100
320211011220000000
411311120310130
5200024200442
613413534300
72265656301
oct565306434
9224156000
1097881372
11502847a6
1228944390
1317381394
14cddd0a8
1588d6d4c
hex5d58d1c

97881372 has 96 divisors (see below), whose sum is σ = 262295040. Its totient is φ = 31947696.

The previous prime is 97881367. The next prime is 97881383. The reversal of 97881372 is 27318879.

It is a super-3 number, since 3×978813723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586033 + ... + 586199.

It is an arithmetic number, because the mean of its divisors is an integer number (2732240).

Almost surely, 297881372 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 97881372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131147520).

97881372 is an abundant number, since it is smaller than the sum of its proper divisors (164413668).

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

97881372 is a wasteful number, since it uses less digits than its factorization.

97881372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 97881372 is about 9893.5015035123. The cubic root of 97881372 is about 460.8575245568.

The spelling of 97881372 in words is "ninety-seven million, eight hundred eighty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 167 201 243 268 324 334 402 486 501 603 668 729 804 972 1002 1206 1458 1503 1809 2004 2187 2412 2916 3006 3618 4374 4509 5427 6012 7236 8748 9018 10854 11189 13527 16281 18036 21708 22378 27054 32562 33567 40581 44756 48843 54108 65124 67134 81162 97686 100701 121743 134268 146529 162324 195372 201402 243486 293058 302103 365229 402804 486972 586116 604206 730458 906309 1208412 1460916 1812618 2718927 3625236 5437854 8156781 10875708 16313562 24470343 32627124 48940686 97881372