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97296972 = 22329231311
BaseRepresentation
bin1011100110010…
…10001001001100
320210002012100120
411303022021030
5144402000342
613353224540
72261003433
oct563121114
9223065316
1097296972
114aa15723
1228702150
1317208396
14ccca11a
15881daec
hex5cca24c

97296972 has 72 divisors (see below), whose sum is σ = 243489792. Its totient is φ = 30206400.

The previous prime is 97296961. The next prime is 97296973. The reversal of 97296972 is 27969279.

It is not an unprimeable number, because it can be changed into a prime (97296973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312697 + ... + 313007.

Almost surely, 297296972 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 97296972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121744896).

97296972 is an abundant number, since it is smaller than the sum of its proper divisors (146192820).

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

97296972 is a wasteful number, since it uses less digits than its factorization.

97296972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 376 counting only the distinct ones).

The product of its digits is 857304, while the sum is 51.

The square root of 97296972 is about 9863.9227490892. The cubic root of 97296972 is about 459.9385109997.

The spelling of 97296972 in words is "ninety-seven million, two hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 311 348 372 622 841 899 933 1244 1682 1798 1866 2523 2697 3364 3596 3732 5046 5394 9019 9641 10092 10788 18038 19282 26071 27057 28923 36076 38564 52142 54114 57846 78213 104284 108228 115692 156426 261551 279589 312852 523102 559178 784653 838767 1046204 1118356 1569306 1677534 3138612 3355068 8108081 16216162 24324243 32432324 48648486 97296972