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97442514 = 236135397
BaseRepresentation
bin1011100111011…
…01101011010010
320210100121000000
411303231223102
5144421130024
613400310430
72262150651
oct563555322
9223317000
1097442514
1150005004
1228772416
13172596c0
14cd27198
15884bcc9
hex5cedad2

97442514 has 112 divisors (see below), whose sum is σ = 242934552. Its totient is φ = 29113344.

The previous prime is 97442503. The next prime is 97442519. The reversal of 97442514 is 41524479.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75116889 + 22325625 = 8667^2 + 4725^2 .

Its product of digits (40320) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (97442519) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1004514 + ... + 1004610.

Almost surely, 297442514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97442514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121467276).

97442514 is an abundant number, since it is smaller than the sum of its proper divisors (145492038).

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

97442514 is a wasteful number, since it uses less digits than its factorization.

97442514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 97442514 is about 9871.2974831073. The cubic root of 97442514 is about 460.1677302633.

The spelling of 97442514 in words is "ninety-seven million, four hundred forty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 97 106 117 159 162 194 234 243 291 318 351 477 486 582 689 702 729 873 954 1053 1261 1378 1431 1458 1746 2067 2106 2522 2619 2862 3159 3783 4134 4293 5141 5238 6201 6318 7566 7857 8586 9477 10282 11349 12402 12879 15423 15714 18603 18954 22698 23571 25758 30846 34047 37206 38637 46269 47142 55809 66833 68094 70713 77274 92538 102141 111618 133666 138807 141426 167427 200499 204282 277614 306423 334854 400998 416421 502281 601497 612846 832842 919269 1004562 1202994 1249263 1804491 1838538 2498526 3608982 3747789 5413473 7495578 10826946 16240419 32480838 48721257 97442514