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97142272 = 29337563
BaseRepresentation
bin1011100101001…
…00011000000000
320202210100010221
411302210120000
5144332023042
613350032424
72256460423
oct562443000
9222710127
1097142272
114a91a477
1228648714
1317182b46
14cc899ba
1587dcd67
hex5ca4600

97142272 has 40 divisors (see below), whose sum is σ = 195016536. Its totient is φ = 48340992.

The previous prime is 97142263. The next prime is 97142273. The reversal of 97142272 is 27224179.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97142273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172263 + ... + 172825.

Almost surely, 297142272 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 97142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97508268).

97142272 is an abundant number, since it is smaller than the sum of its proper divisors (97874264).

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

97142272 is an equidigital number, since it uses as much as digits as its factorization.

97142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 902 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 97142272 is about 9856.0779217699. The cubic root of 97142272 is about 459.6946177252.

The spelling of 97142272 in words is "ninety-seven million, one hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 337 512 563 674 1126 1348 2252 2696 4504 5392 9008 10784 18016 21568 36032 43136 72064 86272 144128 172544 189731 288256 379462 758924 1517848 3035696 6071392 12142784 24285568 48571136 97142272