Search a number
-
+
957044881 = 132311932683
BaseRepresentation
bin111001000010110…
…101100010010001
32110200211220202201
4321002311202101
53430000414011
6234544443201
732500514212
oct7102654221
92420756681
10957044881
11451254a91
12228619501
1312337a560
1491169409
1559048cc1
hex390b5891

957044881 has 16 divisors (see below), whose sum is σ = 1076777856. Its totient is φ = 843993216.

The previous prime is 957044843. The next prime is 957044887. The reversal of 957044881 is 188440759.

It is a 2-Lehmer number, since φ(957044881) divides (957044881-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 957044881 - 215 = 957012113 is a prime.

It is a super-2 number, since 2×9570448812 = 1831869808496608322, which contains 22 as substring.

It is a deceptive number, since it divides R957044880.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957044887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355366 + ... + 358048.

It is an arithmetic number, because the mean of its divisors is an integer number (67298616).

It is a Poulet number, since it divides 2957044880-1.

Almost surely, 2957044881 is an apocalyptic number.

It is an amenable number.

957044881 is a deficient number, since it is larger than the sum of its proper divisors (119732975).

957044881 is a wasteful number, since it uses less digits than its factorization.

957044881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912.

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 957044881 is about 30936.1419863563. The cubic root of 957044881 is about 985.4715740356.

The spelling of 957044881 in words is "nine hundred fifty-seven million, forty-four thousand, eight hundred eighty-one".

Divisors: 1 13 23 299 1193 2683 15509 27439 34879 61709 356707 802217 3200819 41610647 73618837 957044881