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13392852 = 22311241421
BaseRepresentation
bin110011000101…
…101111010100
3221012102112120
4303011233110
511412032402
61155015540
7221560134
oct63055724
927172476
1013392852
117618280
12459a5b0
132a0bc85
141ac8ac4
1512983bc
hexcc5bd4

13392852 has 48 divisors (see below), whose sum is σ = 34313664. Its totient is φ = 4032000.

The previous prime is 13392851. The next prime is 13392859. The reversal of 13392852 is 25829331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13392851) 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, 31602 + ... + 32022.

It is an arithmetic number, because the mean of its divisors is an integer number (714868).

Almost surely, 213392852 is an apocalyptic number.

13392852 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 13392852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156832).

13392852 is an abundant number, since it is smaller than the sum of its proper divisors (20920812).

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

13392852 is a wasteful number, since it uses less digits than its factorization.

13392852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 13392852 is about 3659.6245709089. The cubic root of 13392852 is about 237.4785325010.

The spelling of 13392852 in words is "thirteen million, three hundred ninety-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 421 482 723 842 964 1263 1446 1684 2526 2651 2892 4631 5052 5302 7953 9262 10604 13893 15906 18524 27786 31812 55572 101461 202922 304383 405844 608766 1116071 1217532 2232142 3348213 4464284 6696426 13392852