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13625388 = 2233767269
BaseRepresentation
bin110011111110…
…100000101100
3221122020112000
4303332200230
511442003023
61204012300
7223546110
oct63764054
927566460
1013625388
117766a57
124691090
132a90a7a
141b49740
1512e2243
hexcfe82c

13625388 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3820608.

The previous prime is 13625371. The next prime is 13625411. The reversal of 13625388 is 88352631.

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

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 31 ways as a sum of consecutive naturals, for example, 50518 + ... + 50786.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 213625388 is an apocalyptic number.

13625388 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 13625388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13625388 is an abundant number, since it is smaller than the sum of its proper divisors (27501012).

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

13625388 is a wasteful number, since it uses less digits than its factorization.

13625388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13625388 is about 3691.2583220360. The cubic root of 13625388 is about 238.8450762109.

The spelling of 13625388 in words is "thirteen million, six hundred twenty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 84 108 126 134 189 201 252 268 269 378 402 469 538 603 756 804 807 938 1076 1206 1407 1614 1809 1876 1883 2412 2421 2814 3228 3618 3766 4221 4842 5628 5649 7236 7263 7532 8442 9684 11298 12663 14526 16884 16947 18023 22596 25326 29052 33894 36046 50652 50841 54069 67788 72092 101682 108138 126161 162207 203364 216276 252322 324414 378483 486621 504644 648828 756966 973242 1135449 1513932 1946484 2270898 3406347 4541796 6812694 13625388