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12472488 = 2333773113
BaseRepresentation
bin101111100101…
…000010101000
3212110200001000
4233211002220
511143104423
61123155000
7211004640
oct57450250
925420030
1012472488
117049846
124215a60
132779092
141929520
151165843
hexbe50a8

12472488 has 128 divisors (see below), whose sum is σ = 40492800. Its totient is φ = 3483648.

The previous prime is 12472483. The next prime is 12472513. The reversal of 12472488 is 88427421.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472483) 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 31 ways as a sum of consecutive naturals, for example, 110320 + ... + 110432.

It is an arithmetic number, because the mean of its divisors is an integer number (316350).

Almost surely, 212472488 is an apocalyptic number.

12472488 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 12472488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246400).

12472488 is an abundant number, since it is smaller than the sum of its proper divisors (28020312).

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

12472488 is a wasteful number, since it uses less digits than its factorization.

12472488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12472488 is about 3531.6409783555. The cubic root of 12472488 is about 231.9090507556.

The spelling of 12472488 in words is "twelve million, four hundred seventy-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 113 126 146 168 189 216 219 226 252 292 339 378 438 452 504 511 584 657 678 756 791 876 904 1017 1022 1314 1356 1512 1533 1582 1752 1971 2034 2044 2373 2628 2712 3051 3066 3164 3942 4068 4088 4599 4746 5256 6102 6132 6328 7119 7884 8136 8249 9198 9492 12204 12264 13797 14238 15768 16498 18396 18984 21357 24408 24747 27594 28476 32996 36792 42714 49494 55188 56952 57743 65992 74241 85428 98988 110376 115486 148482 170856 173229 197976 222723 230972 296964 346458 445446 461944 519687 593928 692916 890892 1039374 1385832 1559061 1781784 2078748 3118122 4157496 6236244 12472488