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97986252 = 223713611471
BaseRepresentation
bin1011101011100…
…10011011001100
320211101012212110
411311302123030
5200041030002
613420104020
72266604130
oct565623314
9224335773
1097986252
1150346581
1228995010
13173ba040
14d0293c0
158907e6c
hex5d726cc

97986252 has 96 divisors (see below), whose sum is σ = 286203904. Its totient is φ = 25401600.

The previous prime is 97986179. The next prime is 97986263. The reversal of 97986252 is 25268979.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65877 + ... + 67347.

Almost surely, 297986252 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 97986252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143101952).

97986252 is an abundant number, since it is smaller than the sum of its proper divisors (188217652).

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

97986252 is a wasteful number, since it uses less digits than its factorization.

97986252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 97986252 is about 9898.8005333980. The cubic root of 97986252 is about 461.0220689193.

The spelling of 97986252 in words is "ninety-seven million, nine hundred eighty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1471 1586 1708 2379 2562 2942 3172 4413 4758 5124 5551 5884 8826 9516 10297 11102 16653 17652 19123 20594 22204 30891 33306 38246 41188 57369 61782 66612 76492 89731 114738 123564 133861 179462 229476 267722 269193 358924 401583 535444 538386 628117 803166 1076772 1166503 1256234 1606332 1884351 2333006 2512468 3499509 3768702 4666012 6999018 7537404 8165521 13998036 16331042 24496563 32662084 48993126 97986252