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56776950 = 235524673
BaseRepresentation
bin1101100010010…
…1100011110110
310221211120100000
43120211203312
5104013330300
65344532130
71256411316
oct330454366
9127746300
1056776950
112a05a3aa
1217021046
13b9bbc39
14777d446
154eb7c00
hex36258f6

56776950 has 72 divisors (see below), whose sum is σ = 158224248. Its totient is φ = 15137280.

The previous prime is 56776943. The next prime is 56776961. The reversal of 56776950 is 5967765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56776896 and 56776905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9814 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (2197559).

Almost surely, 256776950 is an apocalyptic number.

56776950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56776950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79112124).

56776950 is an abundant number, since it is smaller than the sum of its proper divisors (101447298).

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

56776950 is a wasteful number, since it uses less digits than its factorization.

56776950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56776950 is about 7535.0481086719. The cubic root of 56776950 is about 384.3474638216.

The spelling of 56776950 in words is "fifty-six million, seven hundred seventy-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 4673 6075 9346 12150 14019 23365 28038 42057 46730 70095 84114 116825 126171 140190 210285 233650 252342 350475 378513 420570 630855 700950 757026 1051425 1135539 1261710 1892565 2102850 2271078 3154275 3785130 5677695 6308550 9462825 11355390 18925650 28388475 56776950