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13555152 = 2432132557
BaseRepresentation
bin110011101101…
…010111010000
3221111200011200
4303231113100
511432231102
61202311200
7223134252
oct63552720
927450150
1013555152
117719206
124658500
132a67b00
141b2bcd2
1512cb51c
hexced5d0

13555152 has 90 divisors (see below), whose sum is σ = 41151942. Its totient is φ = 4163328.

The previous prime is 13555147. The next prime is 13555177. The reversal of 13555152 is 25155531.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 12787776 = 876^2 + 3576^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 24058 + ... + 24614.

Almost surely, 213555152 is an apocalyptic number.

13555152 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 13555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575971).

13555152 is an abundant number, since it is smaller than the sum of its proper divisors (27596790).

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

13555152 is a wasteful number, since it uses less digits than its factorization.

13555152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its digits is 3750, while the sum is 27.

The square root of 13555152 is about 3681.7322010163. The cubic root of 13555152 is about 238.4339703555.

The spelling of 13555152 in words is "thirteen million, five hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 557 624 676 936 1014 1114 1352 1521 1671 1872 2028 2228 2704 3042 3342 4056 4456 5013 6084 6684 7241 8112 8912 10026 12168 13368 14482 20052 21723 24336 26736 28964 40104 43446 57928 65169 80208 86892 94133 115856 130338 173784 188266 260676 282399 347568 376532 521352 564798 753064 847197 1042704 1129596 1506128 1694394 2259192 3388788 4518384 6777576 13555152