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56349816 = 23323313789
BaseRepresentation
bin1101011011110…
…1010001111000
310221000212102020
43112331101320
5103411143231
65331434440
71252652115
oct326752170
9127025366
1056349816
11298984a6
1216a55a20
13b89c6b3
1476ab90c
154e31396
hex35bd478

56349816 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 16727040.

The previous prime is 56349809. The next prime is 56349817. The reversal of 56349816 is 61894365.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56349817) 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, 633100 + ... + 633188.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 256349816 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 56349816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

56349816 is an abundant number, since it is smaller than the sum of its proper divisors (101243784).

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

56349816 is a wasteful number, since it uses less digits than its factorization.

56349816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 56349816 is about 7506.6514505470. The cubic root of 56349816 is about 383.3812191387.

The spelling of 56349816 in words is "fifty-six million, three hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 31 37 46 62 69 74 89 92 93 111 124 138 148 178 184 186 222 248 267 276 296 356 372 444 534 552 712 713 744 851 888 1068 1147 1426 1702 2047 2136 2139 2294 2553 2759 2852 3293 3404 3441 4094 4278 4588 5106 5518 5704 6141 6586 6808 6882 8188 8277 8556 9176 9879 10212 11036 12282 13172 13764 16376 16554 17112 19758 20424 22072 24564 26344 26381 27528 33108 39516 49128 52762 63457 66216 75739 79032 79143 102083 105524 126914 151478 158286 190371 204166 211048 227217 253828 302956 306249 316572 380742 408332 454434 507656 605912 612498 633144 761484 816664 908868 1224996 1522968 1817736 2347909 2449992 4695818 7043727 9391636 14087454 18783272 28174908 56349816