Search a number
-
+
9010464 = 253471997
BaseRepresentation
bin100010010111…
…110100100000
3121221210000220
4202113310200
54301313324
6521043040
7136405401
oct42276440
917853026
109010464
1150a4771
123026480
131b36348
1412a79a8
15bceb79
hex897d20

9010464 has 48 divisors (see below), whose sum is σ = 24167808. Its totient is φ = 2938112.

The previous prime is 9010453. The next prime is 9010471. The reversal of 9010464 is 4640109.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×90104642 = 162376922990592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 5510.

It is an arithmetic number, because the mean of its divisors is an integer number (503496).

Almost surely, 29010464 is an apocalyptic number.

9010464 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083904).

9010464 is an abundant number, since it is smaller than the sum of its proper divisors (15157344).

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

9010464 is a wasteful number, since it uses less digits than its factorization.

9010464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9010464 is about 3001.7434933718. The cubic root of 9010464 is about 208.0889658868.

The spelling of 9010464 in words is "nine million, ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 1997 2256 3994 4512 5991 7988 11982 15976 23964 31952 47928 63904 93859 95856 187718 191712 281577 375436 563154 750872 1126308 1501744 2252616 3003488 4505232 9010464