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56553336 = 23337113331
BaseRepresentation
bin1101011110111…
…0111101111000
310221102012121000
43113232331320
5103434201321
65340045000
71254460350
oct327567570
9127365530
1056553336
1129a173a4
1216b33760
13b941218
147721b60
154e71826
hex35eef78

56553336 has 128 divisors (see below), whose sum is σ = 181670400. Its totient is φ = 15966720.

The previous prime is 56553313. The next prime is 56553337. The reversal of 56553336 is 63335565.

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 56553336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56553337) 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, 170691 + ... + 171021.

It is an arithmetic number, because the mean of its divisors is an integer number (1419300).

Almost surely, 256553336 is an apocalyptic number.

56553336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56553336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90835200).

56553336 is an abundant number, since it is smaller than the sum of its proper divisors (125117064).

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

56553336 is a wasteful number, since it uses less digits than its factorization.

56553336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The square root of 56553336 is about 7520.1952102322. The cubic root of 56553336 is about 383.8422203359.

The spelling of 56553336 in words is "fifty-six million, five hundred fifty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 331 339 378 452 504 662 678 756 791 904 993 1017 1324 1356 1512 1582 1986 2034 2317 2373 2648 2712 2979 3051 3164 3972 4068 4634 4746 5958 6102 6328 6951 7119 7944 8136 8937 9268 9492 11916 12204 13902 14238 17874 18536 18984 20853 21357 23832 24408 27804 28476 35748 37403 41706 42714 55608 56952 62559 71496 74806 83412 85428 112209 125118 149612 166824 170856 224418 250236 261821 299224 336627 448836 500472 523642 673254 785463 897672 1009881 1047284 1346508 1570926 2019762 2094568 2356389 2693016 3141852 4039524 4712778 6283704 7069167 8079048 9425556 14138334 18851112 28276668 56553336