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97012272 = 24371791613
BaseRepresentation
bin1011100100001…
…00101000110000
320202112201211010
411302010220300
5144313343042
613343150520
72255406420
oct562045060
9222481733
1097012272
114a840835
12285a5440
1317138916
14cc54480
1587b459c
hex5c84a30

97012272 has 80 divisors (see below), whose sum is σ = 288195840. Its totient is φ = 27545856.

The previous prime is 97012249. The next prime is 97012283. The reversal of 97012272 is 27221079.

It is a happy number.

It is a super-2 number, since 2×970122722 = 18822761837203968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59338 + ... + 60950.

It is an arithmetic number, because the mean of its divisors is an integer number (3602448).

Almost surely, 297012272 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 97012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144097920).

97012272 is an abundant number, since it is smaller than the sum of its proper divisors (191183568).

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

97012272 is a wasteful number, since it uses less digits than its factorization.

97012272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 97012272 is about 9849.4807984990. The cubic root of 97012272 is about 459.4894650941.

The spelling of 97012272 in words is "ninety-seven million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 1613 2148 2506 2864 3226 3759 4296 4839 5012 6452 7518 8592 9678 10024 11291 12904 15036 19356 20048 22582 25808 30072 33873 38712 45164 60144 67746 77424 90328 135492 180656 270984 288727 541968 577454 866181 1154908 1732362 2021089 2309816 3464724 4042178 4619632 6063267 6929448 8084356 12126534 13858896 16168712 24253068 32337424 48506136 97012272