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56346150 = 23527103521
BaseRepresentation
bin1101011011110…
…0011000100110
310221000200101110
43112330120212
5103411034100
65331405450
71252635330
oct326743046
9127020343
1056346150
1129895773
1216a53886
13b89ab23
1476aa450
154e30250
hex35bc626

56346150 has 96 divisors (see below), whose sum is σ = 161561088. Its totient is φ = 12729600.

The previous prime is 56346119. The next prime is 56346151. The reversal of 56346150 is 5164365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56346151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107890 + ... + 108410.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 256346150 is an apocalyptic number.

56346150 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 56346150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780544).

56346150 is an abundant number, since it is smaller than the sum of its proper divisors (105214938).

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

56346150 is a wasteful number, since it uses less digits than its factorization.

56346150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56346150 is about 7506.4072631319. The cubic root of 56346150 is about 383.3729049676.

The spelling of 56346150 in words is "fifty-six million, three hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 103 105 150 175 206 210 309 350 515 521 525 618 721 1030 1042 1050 1442 1545 1563 2163 2575 2605 3090 3126 3605 3647 4326 5150 5210 7210 7294 7725 7815 10815 10941 13025 15450 15630 18025 18235 21630 21882 26050 36050 36470 39075 53663 54075 54705 78150 91175 107326 108150 109410 160989 182350 268315 273525 321978 375641 536630 547050 751282 804945 1126923 1341575 1609890 1878205 2253846 2683150 3756410 4024725 5634615 8049450 9391025 11269230 18782050 28173075 56346150