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56505150 = 23252132743
BaseRepresentation
bin1101011110001…
…1001100111110
310221022202111100
43113203030332
5103431131100
65335033530
71254200022
oct327431476
9127282440
1056505150
1129994179
1216b0b8a6
13b925300
14770c382
154e62400
hex35e333e

56505150 has 108 divisors (see below), whose sum is σ = 164607768. Its totient is φ = 13890240.

The previous prime is 56505131. The next prime is 56505151. The reversal of 56505150 is 5150565.

56505150 is a `hidden beast` number, since 5 + 6 + 505 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56505151) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 75679 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (1524146).

Almost surely, 256505150 is an apocalyptic number.

56505150 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 56505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82303884).

56505150 is an abundant number, since it is smaller than the sum of its proper divisors (108102618).

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

56505150 is a wasteful number, since it uses less digits than its factorization.

56505150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 56505150 is about 7516.9907542846. The cubic root of 56505150 is about 383.7331723815.

The spelling of 56505150 in words is "fifty-six million, five hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 169 195 225 234 325 338 390 450 507 585 650 743 845 975 1014 1170 1486 1521 1690 1950 2229 2535 2925 3042 3715 4225 4458 5070 5850 6687 7430 7605 8450 9659 11145 12675 13374 15210 18575 19318 22290 25350 28977 33435 37150 38025 48295 55725 57954 66870 76050 86931 96590 111450 125567 144885 167175 173862 241475 251134 289770 334350 376701 434655 482950 627835 724425 753402 869310 1130103 1255670 1448850 1883505 2173275 2260206 3139175 3767010 4346550 5650515 6278350 9417525 11301030 18835050 28252575 56505150