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13975488 = 2632191277
BaseRepresentation
bin110101010011…
…111111000000
3222022000202200
4311103333000
512034203423
61215313200
7226534602
oct65237700
928260680
1013975488
117985a9a
12481b800
132b84227
141bdb172
151360d43
hexd53fc0

13975488 has 84 divisors (see below), whose sum is σ = 42199560. Its totient is φ = 4409856.

The previous prime is 13975483. The next prime is 13975499. The reversal of 13975488 is 88457931.

13975488 is a `hidden beast` number, since 13 + 97 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975483) 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 11 ways as a sum of consecutive naturals, for example, 10306 + ... + 11582.

Almost surely, 213975488 is an apocalyptic number.

13975488 is a gapful number since it is divisible by the number (18) 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 13975488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099780).

13975488 is an abundant number, since it is smaller than the sum of its proper divisors (28224072).

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

13975488 is a wasteful number, since it uses less digits than its factorization.

13975488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 13975488 is about 3738.3803979799. The cubic root of 13975488 is about 240.8734837522.

The spelling of 13975488 in words is "thirteen million, nine hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1277 1368 1824 2554 2736 3648 3831 5108 5472 7662 10216 10944 11493 15324 20432 22986 24263 30648 40864 45972 48526 61296 72789 81728 91944 97052 122592 145578 183888 194104 218367 245184 291156 367776 388208 436734 582312 735552 776416 873468 1164624 1552832 1746936 2329248 3493872 4658496 6987744 13975488