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12425088 = 2731319131
BaseRepresentation
bin101111011001…
…011110000000
3212101021000110
4233121132000
511140100323
61122151320
7210416514
oct57313600
925337013
1012425088
117017175
1241b2540
132760630
141916144
151156793
hexbd9780

12425088 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3594240.

The previous prime is 12425087. The next prime is 12425089. The reversal of 12425088 is 88052421.

12425088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12425087) and next prime (12425089).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94783 + ... + 94913.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 212425088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

12425088 is an abundant number, since it is smaller than the sum of its proper divisors (25274112).

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

12425088 is a wasteful number, since it uses less digits than its factorization.

12425088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12425088 is about 3524.9238289643. The cubic root of 12425088 is about 231.6148981739.

The spelling of 12425088 in words is "twelve million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 131 152 156 192 208 228 247 262 304 312 384 393 416 456 494 524 608 624 741 786 832 912 988 1048 1216 1248 1482 1572 1664 1703 1824 1976 2096 2432 2489 2496 2964 3144 3406 3648 3952 4192 4978 4992 5109 5928 6288 6812 7296 7467 7904 8384 9956 10218 11856 12576 13624 14934 15808 16768 19912 20436 23712 25152 27248 29868 31616 32357 39824 40872 47424 50304 54496 59736 64714 79648 81744 94848 97071 108992 119472 129428 159296 163488 194142 217984 238944 258856 318592 326976 388284 477888 517712 653952 776568 955776 1035424 1553136 2070848 3106272 4141696 6212544 12425088