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12472152 = 23371117397
BaseRepresentation
bin101111100100…
…111101011000
3212110122120120
4233210331120
511143102102
61123153240
7211003650
oct57447530
925418516
1012472152
117049570
124215820
132778b94
141929360
1511656bc
hexbe4f58

12472152 has 128 divisors (see below), whose sum is σ = 41264640. Its totient is φ = 3041280.

The previous prime is 12472133. The next prime is 12472153. The reversal of 12472152 is 25127421.

12472152 = T323 + T324 + ... + T476.

It is a super-2 number, since 2×124721522 = 311109151022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31218 + ... + 31614.

It is an arithmetic number, because the mean of its divisors is an integer number (322380).

Almost surely, 212472152 is an apocalyptic number.

12472152 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 12472152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632320).

12472152 is an abundant number, since it is smaller than the sum of its proper divisors (28792488).

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

12472152 is a wasteful number, since it uses less digits than its factorization.

12472152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 12472152 is about 3531.5934080808. The cubic root of 12472152 is about 231.9069682483.

Adding to 12472152 its reverse (25127421), we get a palindrome (37599573).

The spelling of 12472152 in words is "twelve million, four hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 397 408 462 476 561 616 714 748 794 924 952 1122 1191 1309 1428 1496 1588 1848 2244 2382 2618 2779 2856 3176 3927 4367 4488 4764 5236 5558 6749 7854 8337 8734 9528 10472 11116 13101 13498 15708 16674 17468 20247 22232 26202 26996 30569 31416 33348 34936 40494 47243 52404 53992 61138 66696 74239 80988 91707 94486 104808 122276 141729 148478 161976 183414 188972 222717 244552 283458 296956 366828 377944 445434 519673 566916 593912 733656 890868 1039346 1133832 1559019 1781736 2078692 3118038 4157384 6236076 12472152