Search a number
-
+
921625164 = 223231825829
BaseRepresentation
bin110110111011101…
…110001001001100
32101020012102001100
4312323232021030
53341414001124
6231241343100
731560453555
oct6673561114
92336172040
10921625164
11433262699
12218797a90
13118c28745
148a58932c
1555d9e1c9
hex36eee24c

921625164 has 36 divisors (see below), whose sum is σ = 2404816960. Its totient is φ = 297298080.

The previous prime is 921625163. The next prime is 921625181. The reversal of 921625164 is 461526129.

921625164 is a `hidden beast` number, since 9 + 21 + 625 + 1 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (921625163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411799 + ... + 414030.

Almost surely, 2921625164 is an apocalyptic number.

It is an amenable number.

921625164 is an abundant number, since it is smaller than the sum of its proper divisors (1483191796).

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

921625164 is a wasteful number, since it uses less digits than its factorization.

921625164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825870 (or 825865 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 921625164 is about 30358.2799908032. The cubic root of 921625164 is about 973.1611764178.

The spelling of 921625164 in words is "nine hundred twenty-one million, six hundred twenty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 825829 1651658 2477487 3303316 4954974 7432461 9909948 14864922 25600699 29729844 51201398 76802097 102402796 153604194 230406291 307208388 460812582 921625164