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56166040 = 2357296917
BaseRepresentation
bin1101011001000…
…0011010011000
310220200112022201
43112100122120
5103334303130
65323455544
71251255250
oct326203230
9126615281
1056166040
1129782417
12169875b4
13b836b58
147660960
154de6bca
hex3590698

56166040 has 64 divisors (see below), whose sum is σ = 149428800. Its totient is φ = 18590208.

The previous prime is 56166013. The next prime is 56166043. The reversal of 56166040 is 4066165.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56166043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662 + ... + 11578.

It is an arithmetic number, because the mean of its divisors is an integer number (2334825).

Almost surely, 256166040 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 56166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74714400).

56166040 is an abundant number, since it is smaller than the sum of its proper divisors (93262760).

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

56166040 is a wasteful number, since it uses less digits than its factorization.

56166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56166040 is about 7494.4005764304. The cubic root of 56166040 is about 382.9639861880.

The spelling of 56166040 in words is "fifty-six million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 6917 8120 13834 27668 34585 48419 55336 69170 96838 138340 193676 200593 242095 276680 387352 401186 484190 802372 968380 1002965 1404151 1604744 1936760 2005930 2808302 4011860 5616604 7020755 8023720 11233208 14041510 28083020 56166040