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12148528 = 247313499
BaseRepresentation
bin101110010101…
…111100110000
3211212012122111
4232111330300
511102223103
61112215104
7205155310
oct56257460
924765574
1012148528
116948407
12409a494
1326947a2
141883440
1510ee86d
hexb95f30

12148528 has 40 divisors (see below), whose sum is σ = 27776000. Its totient is φ = 5037120.

The previous prime is 12148511. The next prime is 12148537. The reversal of 12148528 is 82584121.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 12148528.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1723 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 212148528 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 12148528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888000).

12148528 is an abundant number, since it is smaller than the sum of its proper divisors (15627472).

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

12148528 is a wasteful number, since it uses less digits than its factorization.

12148528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3539 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 12148528 is about 3485.4738558767. The cubic root of 12148528 is about 229.8835453309.

The spelling of 12148528 in words is "twelve million, one hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 3499 6998 13996 24493 27992 48986 55984 97972 108469 195944 216938 391888 433876 759283 867752 1518566 1735504 3037132 6074264 12148528