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56434356 = 2232111783101
BaseRepresentation
bin1101011101000…
…1111010110100
310221012011101100
43113101322310
5103421344411
65333330100
71253453436
oct327217264
9127164340
1056434356
1129945a70
1216a96930
13b8cc014
1476d0656
154e4b456
hex35d1eb4

56434356 has 144 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 15744000.

The previous prime is 56434337. The next prime is 56434363. The reversal of 56434356 is 65343465.

56434356 is a `hidden beast` number, since 5 + 643 + 4 + 3 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56434356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558706 + ... + 558806.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 256434356 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 56434356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

56434356 is an abundant number, since it is smaller than the sum of its proper divisors (111978252).

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

56434356 is a wasteful number, since it uses less digits than its factorization.

56434356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 56434356 is about 7512.2803462065. The cubic root of 56434356 is about 383.5728485920.

It can be divided in two parts, 5643 and 4356, that added together give a palindrome (9999).

The spelling of 56434356 in words is "fifty-six million, four hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 83 99 101 102 132 153 166 187 198 202 204 249 303 306 332 374 396 404 498 561 606 612 747 748 909 913 996 1111 1122 1212 1411 1494 1683 1717 1818 1826 2222 2244 2739 2822 2988 3333 3366 3434 3636 3652 4233 4444 5151 5478 5644 6666 6732 6868 8217 8383 8466 9999 10302 10956 12699 13332 15453 15521 16434 16766 16932 18887 19998 20604 25149 25398 30906 31042 32868 33532 37774 39996 46563 50298 50796 56661 61812 62084 75447 75548 92213 93126 100596 113322 139689 142511 150894 169983 184426 186252 226644 276639 279378 285022 301788 339966 368852 427533 553278 558756 570044 679932 829917 855066 1106556 1282599 1567621 1659834 1710132 2565198 3135242 3319668 4702863 5130396 6270484 9405726 14108589 18811452 28217178 56434356