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13722852 = 22311213727
BaseRepresentation
bin110100010110…
…010011100100
3221211012012210
4310112103210
512003112402
61210043420
7224433213
oct64262344
927735183
1013722852
117823200
124719570
132ac6240
141b7307a
15131106c
hexd164e4

13722852 has 72 divisors (see below), whose sum is σ = 37955008. Its totient is φ = 3833280.

The previous prime is 13722851. The next prime is 13722889. The reversal of 13722852 is 25822731.

It is not an unprimeable number, because it can be changed into a prime (13722851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18513 + ... + 19239.

Almost surely, 213722852 is an apocalyptic number.

13722852 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 13722852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18977504).

13722852 is an abundant number, since it is smaller than the sum of its proper divisors (24232156).

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

13722852 is a wasteful number, since it uses less digits than its factorization.

13722852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 13722852 is about 3704.4367992989. The cubic root of 13722852 is about 239.4132193154.

It can be divided in two parts, 1372 and 2852, that added together give a palindrome (4224).

The spelling of 13722852 in words is "thirteen million, seven hundred twenty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 727 858 1452 1454 1573 1716 2181 2908 3146 4362 4719 6292 7997 8724 9438 9451 15994 18876 18902 23991 28353 31988 37804 47982 56706 87967 95964 103961 113412 175934 207922 263901 311883 351868 415844 527802 623766 1055604 1143571 1247532 2287142 3430713 4574284 6861426 13722852