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12488472 = 23331719179
BaseRepresentation
bin101111101000…
…111100011000
3212111110222000
4233220330120
511144112342
61123401000
7211102353
oct57507430
925443860
1012488472
11705a857
124223160
132783439
14193129a
15116a44c
hexbe8f18

12488472 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 3691008.

The previous prime is 12488461. The next prime is 12488479. The reversal of 12488472 is 27488421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12488479) 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 31 ways as a sum of consecutive naturals, for example, 69679 + ... + 69857.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 212488472 is an apocalyptic number.

12488472 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 12488472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

12488472 is an abundant number, since it is smaller than the sum of its proper divisors (26391528).

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

12488472 is a wasteful number, since it uses less digits than its factorization.

12488472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

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

The square root of 12488472 is about 3533.9032244814. The cubic root of 12488472 is about 232.0080754224.

The spelling of 12488472 in words is "twelve million, four hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 179 204 216 228 306 323 342 358 408 456 459 513 537 612 646 684 716 918 969 1026 1074 1224 1292 1368 1432 1611 1836 1938 2052 2148 2584 2907 3043 3222 3401 3672 3876 4104 4296 4833 5814 6086 6444 6802 7752 8721 9129 9666 10203 11628 12172 12888 13604 17442 18258 19332 20406 23256 24344 27208 27387 30609 34884 36516 38664 40812 54774 57817 61218 69768 73032 81624 82161 91827 109548 115634 122436 164322 173451 183654 219096 231268 244872 328644 346902 367308 462536 520353 657288 693804 734616 1040706 1387608 1561059 2081412 3122118 4162824 6244236 12488472