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13495392 = 253247997
BaseRepresentation
bin110011011110…
…110001100000
3221101122012100
4303132301200
511423323032
61201130400
7222465111
oct63366140
927348170
1013495392
117688319
124629a00
132a46851
141b14208
1512b897c
hexcdec60

13495392 has 72 divisors (see below), whose sum is σ = 39233376. Its totient is φ = 4398336.

The previous prime is 13495387. The next prime is 13495393. The reversal of 13495392 is 29359431.

It is a happy number.

13495392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13495393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13038 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (544908).

Almost surely, 213495392 is an apocalyptic number.

13495392 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 13495392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616688).

13495392 is an abundant number, since it is smaller than the sum of its proper divisors (25737984).

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

13495392 is a wasteful number, since it uses less digits than its factorization.

13495392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 13495392 is about 3673.6074912816. The cubic root of 13495392 is about 238.0830630676.

The spelling of 13495392 in words is "thirteen million, four hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 997 1128 1504 1692 1994 2256 2991 3384 3988 4512 5982 6768 7976 8973 11964 13536 15952 17946 23928 31904 35892 46859 47856 71784 93718 95712 140577 143568 187436 281154 287136 374872 421731 562308 749744 843462 1124616 1499488 1686924 2249232 3373848 4498464 6747696 13495392