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535549056 = 2737316427
BaseRepresentation
bin11111111010111…
…101010010000000
31101022201201012020
4133322331102000
52044100032211
6125050401440
716162043340
oct3772752200
91338651166
10535549056
11255337a29
1212b430280
1386c50a43
14511aad20
153203b306
hex1febd480

535549056 has 128 divisors (see below), whose sum is σ = 1678479360. Its totient is φ = 148055040.

The previous prime is 535549039. The next prime is 535549123. The reversal of 535549056 is 650945535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5355490562 = 573625582764982272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 535548999 and 535549017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80115 + ... + 86541.

It is an arithmetic number, because the mean of its divisors is an integer number (13113120).

Almost surely, 2535549056 is an apocalyptic number.

535549056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839239680).

535549056 is an abundant number, since it is smaller than the sum of its proper divisors (1142930304).

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

535549056 is a wasteful number, since it uses less digits than its factorization.

535549056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The square root of 535549056 is about 23141.9328492674. The cubic root of 535549056 is about 812.0817538432.

The spelling of 535549056 in words is "five hundred thirty-five million, five hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6427 6944 10416 11904 12854 13888 19281 20832 25708 27776 38562 41664 44989 51416 77124 83328 89978 102832 134967 154248 179956 199237 205664 269934 308496 359912 398474 411328 539868 597711 616992 719824 796948 822656 1079736 1195422 1233984 1394659 1439648 1593896 2159472 2390844 2467968 2789318 2879296 3187792 4183977 4318944 4781688 5578636 5758592 6375584 8367954 8637888 9563376 11157272 12751168 16735908 17275776 19126752 22314544 25502336 33471816 38253504 44629088 66943632 76507008 89258176 133887264 178516352 267774528 535549056