Search a number
-
+
97118952 = 23372931973
BaseRepresentation
bin1011100100111…
…10101011101000
320202202011011020
411302132223220
5144330301302
613345332440
72256332430
oct562365350
9222664136
1097118952
114a9039a7
1228637120
1317175348
14cc812c0
1587d5ebc
hex5c9eae8

97118952 has 64 divisors (see below), whose sum is σ = 278570880. Its totient is φ = 27639552.

The previous prime is 97118929. The next prime is 97118963. The reversal of 97118952 is 25981179.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 48238 + ... + 50210.

It is an arithmetic number, because the mean of its divisors is an integer number (4352670).

Almost surely, 297118952 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 97118952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139285440).

97118952 is an abundant number, since it is smaller than the sum of its proper divisors (181451928).

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

97118952 is a wasteful number, since it uses less digits than its factorization.

97118952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 97118952 is about 9854.8948244007. The cubic root of 97118952 is about 459.6578299767.

The spelling of 97118952 in words is "ninety-seven million, one hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 293 586 879 1172 1758 1973 2051 2344 3516 3946 4102 5919 6153 7032 7892 8204 11838 12306 13811 15784 16408 23676 24612 27622 41433 47352 49224 55244 82866 110488 165732 331464 578089 1156178 1734267 2312356 3468534 4046623 4624712 6937068 8093246 12139869 13874136 16186492 24279738 32372984 48559476 97118952