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97032492 = 22342329449
BaseRepresentation
bin1011100100010…
…01100100101100
320202120202120000
411302021210230
5144320014432
613343424300
72255522364
oct562114454
9222522500
1097032492
114a854a47
12285b5090
1317144b9b
14cc5b9a4
1587ba57c
hex5c8992c

97032492 has 120 divisors (see below), whose sum is σ = 274428000. Its totient is φ = 29804544.

The previous prime is 97032491. The next prime is 97032539. The reversal of 97032492 is 29423079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97032491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215884 + ... + 216332.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 297032492 is an apocalyptic number.

97032492 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97032492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214000).

97032492 is an abundant number, since it is smaller than the sum of its proper divisors (177395508).

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

97032492 is a wasteful number, since it uses less digits than its factorization.

97032492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97032492 is about 9850.5071950636. The cubic root of 97032492 is about 459.5213862500.

The spelling of 97032492 in words is "ninety-seven million, thirty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 81 87 92 108 116 138 162 174 207 261 276 324 348 414 449 522 621 667 783 828 898 1044 1242 1334 1347 1566 1796 1863 2001 2349 2484 2668 2694 3132 3726 4002 4041 4698 5388 6003 7452 8004 8082 9396 10327 12006 12123 13021 16164 18009 20654 24012 24246 26042 30981 36018 36369 39063 41308 48492 52084 54027 61962 72036 72738 78126 92943 108054 117189 123924 145476 156252 185886 216108 234378 278829 299483 351567 371772 468756 557658 598966 703134 836487 898449 1054701 1115316 1197932 1406268 1672974 1796898 2109402 2695347 3345948 3593796 4218804 5390694 8086041 10781388 16172082 24258123 32344164 48516246 97032492