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56149830 = 232511431319
BaseRepresentation
bin1101011000110…
…0011101000110
310220122201002100
43112030131012
5103333243310
65323252530
71251160062
oct326143506
9126581070
1056149830
1129771220
121697a146
13b82c669
147658aa2
154de1ec0
hex358c746

56149830 has 96 divisors (see below), whose sum is σ = 163088640. Its totient is φ = 13285440.

The previous prime is 56149811. The next prime is 56149871. The reversal of 56149830 is 3894165.

56149830 is a `hidden beast` number, since 5 + 614 + 9 + 8 + 30 = 666.

56149830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41911 + ... + 43229.

It is an arithmetic number, because the mean of its divisors is an integer number (1698840).

Almost surely, 256149830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56149830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544320).

56149830 is an abundant number, since it is smaller than the sum of its proper divisors (106938810).

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

56149830 is a wasteful number, since it uses less digits than its factorization.

56149830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1383 counting only the distinct ones).

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

The square root of 56149830 is about 7493.3190243043. The cubic root of 56149830 is about 382.9271404148.

The spelling of 56149830 in words is "fifty-six million, one hundred forty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1319 1419 1935 2365 2638 2838 3870 3957 4257 4730 6595 7095 7914 8514 11871 13190 14190 14509 19785 21285 23742 29018 39570 42570 43527 56717 59355 72545 87054 113434 118710 130581 145090 170151 217635 261162 283585 340302 435270 510453 567170 623887 652905 850755 1020906 1247774 1305810 1701510 1871661 2552265 3119435 3743322 5104530 5614983 6238870 9358305 11229966 18716610 28074915 56149830