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12413952 = 21033449
BaseRepresentation
bin101111010110…
…110000000000
3212100200202000
4233112300000
511134221302
61122024000
7210342165
oct57266000
925320660
1012413952
117009871
1241a8000
132758545
14191206c
15115331c
hexbd6c00

12413952 has 88 divisors (see below), whose sum is σ = 36846000. Its totient is φ = 4128768.

The previous prime is 12413941. The next prime is 12413957. The reversal of 12413952 is 25931421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12413957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27424 + ... + 27872.

Almost surely, 212413952 is an apocalyptic number.

12413952 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 12413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423000).

12413952 is an abundant number, since it is smaller than the sum of its proper divisors (24432048).

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

12413952 is an equidigital number, since it uses as much as digits as its factorization.

12413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12413952 is about 3523.3438662725. The cubic root of 12413952 is about 231.5456824483.

The spelling of 12413952 in words is "twelve million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 449 512 576 768 864 898 1024 1152 1347 1536 1728 1796 2304 2694 3072 3456 3592 4041 4608 5388 6912 7184 8082 9216 10776 12123 13824 14368 16164 21552 24246 27648 28736 32328 43104 48492 57472 64656 86208 96984 114944 129312 172416 193968 229888 258624 344832 387936 459776 517248 689664 775872 1034496 1379328 1551744 2068992 3103488 4137984 6206976 12413952