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55767768 = 23371372423
BaseRepresentation
bin1101010010111…
…1001011011000
310212221021222220
43110233023120
5103234032033
65311144040
71245006150
oct324571330
9125837886
1055767768
1129530171
1216815020
13b7277a4
147599760
154d68bb3
hex352f2d8

55767768 has 64 divisors (see below), whose sum is σ = 160565760. Its totient is φ = 15810816.

The previous prime is 55767743. The next prime is 55767787. The reversal of 55767768 is 86776755.

It is a super-2 number, since 2×557677682 = 6220087895403648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55767768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21805 + ... + 24227.

It is an arithmetic number, because the mean of its divisors is an integer number (2508840).

Almost surely, 255767768 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 55767768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80282880).

55767768 is an abundant number, since it is smaller than the sum of its proper divisors (104797992).

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

55767768 is a wasteful number, since it uses less digits than its factorization.

55767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2572 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 51.

The square root of 55767768 is about 7467.7820000319. The cubic root of 55767768 is about 382.0566420947.

The spelling of 55767768 in words is "fifty-five million, seven hundred sixty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2423 2877 3288 3836 4846 5754 7269 7672 9692 11508 14538 16961 19384 23016 29076 33922 50883 58152 67844 101766 135688 203532 331951 407064 663902 995853 1327804 1991706 2323657 2655608 3983412 4647314 6970971 7966824 9294628 13941942 18589256 27883884 55767768