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56426328 = 2333767557
BaseRepresentation
bin1101011100111…
…1111101011000
310221011202101000
43113033331120
5103421120303
65333225000
71253421150
oct327177530
9127152330
1056426328
112993aa32
1216a92160
13b8c847a
1476cb760
154e48da3
hex35cff58

56426328 has 128 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 15852672.

The previous prime is 56426323. The next prime is 56426329. The reversal of 56426328 is 82362465.

56426328 is a `hidden beast` number, since 5 + 642 + 6 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56426292 and 56426301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56426323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101026 + ... + 101582.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 256426328 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 56426328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

56426328 is an abundant number, since it is smaller than the sum of its proper divisors (125704872).

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

56426328 is a wasteful number, since it uses less digits than its factorization.

56426328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56426328 is about 7511.7460020957. The cubic root of 56426328 is about 383.5546595013.

The spelling of 56426328 in words is "fifty-six million, four hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 557 603 756 804 938 1114 1206 1407 1512 1608 1671 1809 1876 2228 2412 2814 3342 3618 3752 3899 4221 4456 4824 5013 5628 6684 7236 7798 8442 10026 11256 11697 12663 13368 14472 15039 15596 16884 20052 23394 25326 30078 31192 33768 35091 37319 40104 46788 50652 60156 70182 74638 93576 101304 105273 111957 120312 140364 149276 210546 223914 261233 280728 298552 335871 421092 447828 522466 671742 783699 842184 895656 1007613 1044932 1343484 1567398 2015226 2089864 2351097 2686968 3134796 4030452 4702194 6269592 7053291 8060904 9404388 14106582 18808776 28213164 56426328