Search a number
-
+
97258040 = 23511474703
BaseRepresentation
bin1011100110000…
…00101000111000
320210000012221122
411303000220320
5144344224130
613352324412
72260452065
oct563005070
9223005848
1097258040
114a999450
12286a3708
13171c3749
14ccb9c6c
1588122e5
hex5cc0a38

97258040 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 34606720.

The previous prime is 97258013. The next prime is 97258079. The reversal of 97258040 is 4085279.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18329 + ... + 23031.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 297258040 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 97258040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

97258040 is an abundant number, since it is smaller than the sum of its proper divisors (146597320).

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

97258040 is a wasteful number, since it uses less digits than its factorization.

97258040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 97258040 is about 9861.9490974148. The cubic root of 97258040 is about 459.8771568637.

The spelling of 97258040 in words is "ninety-seven million, two hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 4703 5170 9406 10340 18812 20680 23515 37624 47030 51733 94060 103466 188120 206932 221041 258665 413864 442082 517330 884164 1034660 1105205 1768328 2069320 2210410 2431451 4420820 4862902 8841640 9725804 12157255 19451608 24314510 48629020 97258040