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30559056 = 24311311867
BaseRepresentation
bin111010010010…
…0101101010000
32010111120010220
41310210231100
530310342211
63010553040
7520514313
oct164445520
963446126
1030559056
1116282520
12a298780
13643c5a8
1440b697a
152a39806
hex1d24b50

30559056 has 80 divisors (see below), whose sum is σ = 88946688. Its totient is φ = 8956800.

The previous prime is 30559051. The next prime is 30559057. The reversal of 30559056 is 65095503.

It is a super-2 number, since 2×305590562 = 1867711807222272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30559051) 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, 15435 + ... + 17301.

Almost surely, 230559056 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 30559056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44473344).

30559056 is an abundant number, since it is smaller than the sum of its proper divisors (58387632).

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

30559056 is a wasteful number, since it uses less digits than its factorization.

30559056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 30559056 is about 5528.0246019713. The cubic root of 30559056 is about 312.6415137200.

The spelling of 30559056 in words is "thirty million, five hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 1867 2046 2728 3734 4092 5456 5601 7468 8184 11202 14936 16368 20537 22404 29872 41074 44808 57877 61611 82148 89616 115754 123222 164296 173631 231508 246444 328592 347262 463016 492888 636647 694524 926032 985776 1273294 1389048 1909941 2546588 2778096 3819882 5093176 7639764 10186352 15279528 30559056