[go: up one dir, main page]

Search a number
-
+
65293968 = 24310712713
BaseRepresentation
bin1111100100010…
…0111010010000
311112212021111010
43321010322100
5113203401333
610251250520
71421663265
oct371047220
9145767433
1065293968
1133947363
1219a49a40
13106b17ac
14895926c
155aeb563
hex3e44e90

65293968 has 40 divisors (see below), whose sum is σ = 170265888. Its totient is φ = 21559552.

The previous prime is 65293961. The next prime is 65293997. The reversal of 65293968 is 86939256.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65293961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221 + ... + 11492.

Almost surely, 265293968 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 65293968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85132944).

65293968 is an abundant number, since it is smaller than the sum of its proper divisors (104971920).

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

65293968 is a wasteful number, since it uses less digits than its factorization.

65293968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12825 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 65293968 is about 8080.4683032606. The cubic root of 65293968 is about 402.6778001298.

The spelling of 65293968 in words is "sixty-five million, two hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 12713 25426 38139 50852 76278 101704 152556 203408 305112 610224 1360291 2720582 4080873 5441164 8161746 10882328 16323492 21764656 32646984 65293968