Search a number
-
+
8925972 = 22311193559
BaseRepresentation
bin100010000011…
…001100010100
3121210111010120
4202003030110
54241112342
6515151540
7135604146
oct42031424
917714116
108925972
115047240
122ba55b0
131b06a53
141284c96
15bb4aec
hex883314

8925972 has 48 divisors (see below), whose sum is σ = 23923200. Its totient is φ = 2561760.

The previous prime is 8925971. The next prime is 8925977. The reversal of 8925972 is 2795298.

It is a super-2 number, since 2×89259722 = 159345952289568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 84 + 93 + 210 + 52 + 96 + 72 + 223 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8925971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (498400).

Almost surely, 28925972 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 8925972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961600).

8925972 is an abundant number, since it is smaller than the sum of its proper divisors (14997228).

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

8925972 is a wasteful number, since it uses less digits than its factorization.

8925972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3594 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 8925972 is about 2987.6365240772. The cubic root of 8925972 is about 207.4364986893.

The spelling of 8925972 in words is "eight million, nine hundred twenty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 3559 7118 10677 14236 21354 39149 42708 67621 78298 117447 135242 156596 202863 234894 270484 405726 469788 743831 811452 1487662 2231493 2975324 4462986 8925972