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97756074 = 232131133697
BaseRepresentation
bin1011101001110…
…10001110101010
320210221112010100
411310322032222
5200011143244
613411130230
72264625063
oct564721652
9223845110
1097756074
11501a9649
12288a3976
1317339340
14cda956a
1588aeb69
hex5d3a3aa

97756074 has 48 divisors (see below), whose sum is σ = 230178312. Its totient is φ = 29804544.

The previous prime is 97756063. The next prime is 97756079. The reversal of 97756074 is 47065779.

It can be written as a sum of positive squares in 4 ways, for example, as 15944049 + 81812025 = 3993^2 + 9045^2 .

It is not an unprimeable number, because it can be changed into a prime (97756079) 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, 24594 + ... + 28290.

Almost surely, 297756074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97756074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115089156).

97756074 is an abundant number, since it is smaller than the sum of its proper divisors (132422238).

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

97756074 is a wasteful number, since it uses less digits than its factorization.

97756074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 97756074 is about 9887.1671372542. The cubic root of 97756074 is about 460.6607925942.

The spelling of 97756074 in words is "ninety-seven million, seven hundred fifty-six thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 3697 4407 7394 8814 11091 13221 22182 26442 33273 48061 66546 96122 144183 288366 417761 432549 835522 865098 1253283 2506566 3759849 5430893 7519698 10861786 16292679 32585358 48878037 97756074