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13439952 = 243353587
BaseRepresentation
bin110011010001…
…001111010000
3221021211011000
4303101033100
511420034302
61200022000
7222144351
oct63211720
927254130
1013439952
11764a6a9
124601900
132a27546
141adbd28
1512a731c
hexcd13d0

13439952 has 80 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4387968.

The previous prime is 13439939. The next prime is 13440001. The reversal of 13439952 is 25993431.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22603 + ... + 23189.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 213439952 is an apocalyptic number.

13439952 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 13439952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13439952 is an abundant number, since it is smaller than the sum of its proper divisors (25932528).

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

13439952 is a wasteful number, since it uses less digits than its factorization.

13439952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

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

The square root of 13439952 is about 3666.0540094221. The cubic root of 13439952 is about 237.7565950663.

The spelling of 13439952 in words is "thirteen million, four hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 587 636 848 954 1174 1272 1431 1761 1908 2348 2544 2862 3522 3816 4696 5283 5724 7044 7632 9392 10566 11448 14088 15849 21132 22896 28176 31111 31698 42264 62222 63396 84528 93333 124444 126792 186666 248888 253584 279999 373332 497776 559998 746664 839997 1119996 1493328 1679994 2239992 3359988 4479984 6719976 13439952