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56381150 = 2527413929
BaseRepresentation
bin1101011100010…
…0111011011110
310221002110101202
43113010323132
5103413144100
65332235502
71253142350
oct327047336
9127073352
1056381150
1129909aa1
1216a6bb92
13b8b0a37
1476b90d0
154e3a7d5
hex35c4ede

56381150 has 48 divisors (see below), whose sum is σ = 122804640. Its totient is φ = 18854400.

The previous prime is 56381123. The next prime is 56381159. The reversal of 56381150 is 5118365.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56381159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12386 + ... + 16314.

It is an arithmetic number, because the mean of its divisors is an integer number (2558430).

Almost surely, 256381150 is an apocalyptic number.

56381150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56381150 is an abundant number, since it is smaller than the sum of its proper divisors (66423490).

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

56381150 is a wasteful number, since it uses less digits than its factorization.

56381150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 56381150 is about 7508.7382428741. The cubic root of 56381150 is about 383.4522672333.

It can be divided in two parts, 56 and 381150, that multiplied together give a square (21344400 = 46202).

The spelling of 56381150 in words is "fifty-six million, three hundred eighty-one thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 41 50 70 82 175 205 287 350 410 574 1025 1435 2050 2870 3929 7175 7858 14350 19645 27503 39290 55006 98225 137515 161089 196450 275030 322178 687575 805445 1127623 1375150 1610890 2255246 4027225 5638115 8054450 11276230 28190575 56381150