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11252952 = 233359883
BaseRepresentation
bin101010111011…
…010011011000
3210011201011000
4222323103120
510340043302
61041105000
7164435304
oct52732330
923151130
1011252952
116396567
123928160
13243cc69
1416ccd04
15ec431c
hexabb4d8

11252952 has 64 divisors (see below), whose sum is σ = 31824000. Its totient is φ = 3683232.

The previous prime is 11252947. The next prime is 11252953. The reversal of 11252952 is 25925211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12303 + ... + 13185.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 211252952 is an apocalyptic number.

11252952 is a gapful number since it is divisible by the number (12) 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 11252952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912000).

11252952 is an abundant number, since it is smaller than the sum of its proper divisors (20571048).

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

11252952 is a wasteful number, since it uses less digits than its factorization.

11252952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 11252952 is about 3354.5419955636. The cubic root of 11252952 is about 224.0898342906.

The spelling of 11252952 in words is "eleven million, two hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 883 1062 1416 1593 1766 2124 2649 3186 3532 4248 5298 6372 7064 7947 10596 12744 15894 21192 23841 31788 47682 52097 63576 95364 104194 156291 190728 208388 312582 416776 468873 625164 937746 1250328 1406619 1875492 2813238 3750984 5626476 11252952