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97989136 = 247832127
BaseRepresentation
bin1011101011100…
…11001000010000
320211101100211021
411311303020100
5200041123021
613420125224
72266615420
oct565631020
9224340737
1097989136
1150348763
1228996814
13173bb44b
14d02a480
158908c41
hex5d73210

97989136 has 60 divisors (see below), whose sum is σ = 221350912. Its totient is φ = 41162688.

The previous prime is 97989121. The next prime is 97989149. The reversal of 97989136 is 63198979.

It is a super-4 number, since 4×979891364 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771505 + ... + 771631.

Almost surely, 297989136 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 97989136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110675456).

97989136 is an abundant number, since it is smaller than the sum of its proper divisors (123361776).

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

97989136 is a wasteful number, since it uses less digits than its factorization.

97989136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 219 counting only the distinct ones).

The product of its digits is 734832, while the sum is 52.

The square root of 97989136 is about 9898.9462065414. The cubic root of 97989136 is about 461.0265919164.

The spelling of 97989136 in words is "ninety-seven million, nine hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 127 166 254 332 508 581 664 889 1016 1162 1328 1778 2032 2324 3556 4648 6889 7112 9296 10541 13778 14224 21082 27556 42164 48223 55112 73787 84328 96446 110224 147574 168656 192892 295148 385784 590296 771568 874903 1180592 1749806 3499612 6124321 6999224 12248642 13998448 24497284 48994568 97989136