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12392952 = 233111323157
BaseRepresentation
bin101111010001…
…100111111000
3212022121221020
4233101213320
511133033302
61121342440
7210224025
oct57214770
925277836
1012392952
116aa5010
124197a20
13274bb10
14190854c
15114bebc
hexbd19f8

12392952 has 128 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3294720.

The previous prime is 12392951. The next prime is 12392953. The reversal of 12392952 is 25929321.

It is an interprime number because it is at equal distance from previous prime (12392951) and next prime (12392953).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392951) 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, 78858 + ... + 79014.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 212392952 is an apocalyptic number.

12392952 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 12392952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

12392952 is an abundant number, since it is smaller than the sum of its proper divisors (25830408).

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

12392952 is a wasteful number, since it uses less digits than its factorization.

12392952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 12392952 is about 3520.3624813363. The cubic root of 12392952 is about 231.4150443898.

The spelling of 12392952 in words is "twelve million, three hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 157 184 253 264 276 286 299 312 314 429 471 506 552 572 598 628 759 858 897 942 1012 1144 1196 1256 1518 1716 1727 1794 1884 2024 2041 2392 3036 3289 3432 3454 3588 3611 3768 4082 5181 6072 6123 6578 6908 7176 7222 8164 9867 10362 10833 12246 13156 13816 14444 16328 19734 20724 21666 22451 24492 26312 28888 39468 39721 41448 43332 44902 46943 48984 67353 78936 79442 86664 89804 93886 119163 134706 140829 158884 179608 187772 238326 269412 281658 317768 375544 476652 516373 538824 563316 953304 1032746 1126632 1549119 2065492 3098238 4130984 6196476 12392952