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56414196 = 223237411033
BaseRepresentation
bin1101011100110…
…0111111110100
310221011010201200
43113030333310
5103420223241
65333052500
71253340606
oct327147764
9127133650
1056414196
1129931903
1216a87130
13b8c2aa7
1476c7176
154e454b6
hex35ccff4

56414196 has 72 divisors (see below), whose sum is σ = 150174024. Its totient is φ = 17832960.

The previous prime is 56414179. The next prime is 56414209. The reversal of 56414196 is 69141465.

56414196 is a `hidden beast` number, since 5 + 641 + 4 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19980900 + 36433296 = 4470^2 + 6036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56414196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54096 + ... + 55128.

Almost surely, 256414196 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 56414196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75087012).

56414196 is an abundant number, since it is smaller than the sum of its proper divisors (93759828).

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

56414196 is a wasteful number, since it uses less digits than its factorization.

56414196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 56414196 is about 7510.9384233929. The cubic root of 56414196 is about 383.5271686779.

The spelling of 56414196 in words is "fifty-six million, four hundred fourteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1033 1332 1476 1517 2066 3034 3099 4132 4551 6068 6198 9102 9297 12396 13653 18204 18594 27306 37188 38221 42353 54612 76442 84706 114663 127059 152884 169412 229326 254118 343989 381177 458652 508236 687978 762354 1375956 1524708 1567061 3134122 4701183 6268244 9402366 14103549 18804732 28207098 56414196