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12093952 = 29132379
BaseRepresentation
bin101110001000…
…101000000000
3211202102210011
4232020220000
511044001302
61111114304
7204540223
oct56105000
924672704
1012093952
116910402
124072994
1326759b0
14186b5ba
1510dd5d7
hexb88a00

12093952 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 5271552.

The previous prime is 12093941. The next prime is 12093967. The reversal of 12093952 is 25939021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153049 + ... + 153127.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 212093952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

12093952 is an abundant number, since it is smaller than the sum of its proper divisors (15404288).

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

12093952 is an equidigital number, since it uses as much as digits as its factorization.

12093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 12093952 is about 3477.6359786499. The cubic root of 12093952 is about 229.5387859003.

The spelling of 12093952 in words is "twelve million, ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 79 92 104 128 158 184 208 256 299 316 368 416 512 598 632 736 832 1027 1196 1264 1472 1664 1817 2054 2392 2528 2944 3328 3634 4108 4784 5056 5888 6656 7268 8216 9568 10112 11776 14536 16432 19136 20224 23621 29072 32864 38272 40448 47242 58144 65728 76544 94484 116288 131456 153088 188968 232576 262912 377936 465152 525824 755872 930304 1511744 3023488 6046976 12093952