Search a number
-
+
56033688 = 2333789709
BaseRepresentation
bin1101010111000…
…0000110011000
310220102210202210
43111300012120
5103321034223
65320555120
71250164344
oct325600630
9126383683
1056033688
11296a1a37
1216922aa0
13b7bb839
147628624
154dbc893
hex3570198

56033688 has 64 divisors (see below), whose sum is σ = 145692000. Its totient is φ = 17943552.

The previous prime is 56033671. The next prime is 56033693. The reversal of 56033688 is 88633065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78678 + ... + 79386.

Almost surely, 256033688 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 56033688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72846000).

56033688 is an abundant number, since it is smaller than the sum of its proper divisors (89658312).

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

56033688 is a wasteful number, since it uses less digits than its factorization.

56033688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 56033688 is about 7485.5653093137. The cubic root of 56033688 is about 382.6629388255.

The spelling of 56033688 in words is "fifty-six million, thirty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 709 712 888 1068 1418 2127 2136 2836 3293 4254 5672 6586 8508 9879 13172 17016 19758 26233 26344 39516 52466 63101 78699 79032 104932 126202 157398 189303 209864 252404 314796 378606 504808 629592 757212 1514424 2334737 4669474 7004211 9338948 14008422 18677896 28016844 56033688