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10249888 = 251137787
BaseRepresentation
bin100111000110…
…011010100000
3201021202012111
4213012122200
510110444023
61003405104
7153060025
oct47063240
921252174
1010249888
115870990
123523794
13217b52c
14150b54c
15d7700d
hex9c66a0

10249888 has 48 divisors (see below), whose sum is σ = 22637664. Its totient is φ = 4527360.

The previous prime is 10249879. The next prime is 10249937. The reversal of 10249888 is 88894201.

It is a self number, because there is not a number n which added to its sum of digits gives 10249888.

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, 12631 + ... + 13417.

It is an arithmetic number, because the mean of its divisors is an integer number (471618).

Almost surely, 210249888 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 10249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318832).

10249888 is an abundant number, since it is smaller than the sum of its proper divisors (12387776).

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

10249888 is a wasteful number, since it uses less digits than its factorization.

10249888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 10249888 is about 3201.5446272073. The cubic root of 10249888 is about 217.2232830954.

The spelling of 10249888 in words is "ten million, two hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 787 814 1184 1574 1628 3148 3256 6296 6512 8657 12592 13024 17314 25184 29119 34628 58238 69256 116476 138512 232952 277024 320309 465904 640618 931808 1281236 2562472 5124944 10249888