Search a number
-
+
9002952 = 2332717863
BaseRepresentation
bin100010010101…
…111111001000
3121221101201200
4202111333020
54301043302
6520544200
7136344450
oct42257710
917841650
109002952
11509a062
123022060
131b32aba
1412a4d60
15bcc81c
hex895fc8

9002952 has 48 divisors (see below), whose sum is σ = 27867840. Its totient is φ = 2572128.

The previous prime is 9002923. The next prime is 9002969. The reversal of 9002952 is 2592009.

9002952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8428 + ... + 9435.

It is an arithmetic number, because the mean of its divisors is an integer number (580580).

Almost surely, 29002952 is an apocalyptic number.

It is an amenable number.

9002952 is an abundant number, since it is smaller than the sum of its proper divisors (18864888).

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

9002952 is a wasteful number, since it uses less digits than its factorization.

9002952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9002952 is about 3000.4919596626. The cubic root of 9002952 is about 208.0311220690.

The spelling of 9002952 in words is "nine million, two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 17863 35726 53589 71452 107178 125041 142904 160767 214356 250082 321534 375123 428712 500164 643068 750246 1000328 1125369 1286136 1500492 2250738 3000984 4501476 9002952