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13952952 = 2333134969
BaseRepresentation
bin110101001110…
…011110111000
3222020212212000
4311032132320
512032443302
61215021000
7226412106
oct65163670
928225760
1013952952
117970072
12480a760
132b76bb0
141bd2c76
15135931c
hexd4e7b8

13952952 has 64 divisors (see below), whose sum is σ = 41748000. Its totient is φ = 4292352.

The previous prime is 13952947. The next prime is 13952999. The reversal of 13952952 is 25925931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324 + ... + 5292.

Almost surely, 213952952 is an apocalyptic number.

13952952 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 13952952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874000).

13952952 is an abundant number, since it is smaller than the sum of its proper divisors (27795048).

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

13952952 is a wasteful number, since it uses less digits than its factorization.

13952952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4987 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 13952952 is about 3735.3650424021. The cubic root of 13952952 is about 240.7439415795.

The spelling of 13952952 in words is "thirteen million, nine hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4969 9938 14907 19876 29814 39752 44721 59628 64597 89442 119256 129194 134163 178884 193791 258388 268326 357768 387582 516776 536652 581373 775164 1073304 1162746 1550328 1744119 2325492 3488238 4650984 6976476 13952952