Search a number
-
+
8947872 = 253231069
BaseRepresentation
bin100010001000…
…100010100000
3121211121011200
4202020202200
54242312442
6515441200
7136025043
oct42104240
917747150
108947872
11506173a
122bb6200
131b139cb
14128cc5a
15bbb34c
hex8888a0

8947872 has 36 divisors (see below), whose sum is σ = 25446330. Its totient is φ = 2982528.

The previous prime is 8947853. The next prime is 8947889. The reversal of 8947872 is 2787498.

It can be written as a sum of positive squares in only one way, i.e., 7420176 + 1527696 = 2724^2 + 1236^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15247 + ... + 15822.

Almost surely, 28947872 is an apocalyptic number.

It is an amenable number.

8947872 is an abundant number, since it is smaller than the sum of its proper divisors (16498458).

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

8947872 is a wasteful number, since it uses less digits than its factorization.

8947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31085 (or 31074 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 8947872 is about 2991.2993832112. The cubic root of 8947872 is about 207.6060096047.

It can be divided in two parts, 89 and 47872, that added together give a square (47961 = 2192).

The spelling of 8947872 in words is "eight million, nine hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 31069 62138 93207 124276 186414 248552 279621 372828 497104 559242 745656 994208 1118484 1491312 2236968 2982624 4473936 8947872