Search a number
-
+
49158564 = 223721359109
BaseRepresentation
bin1011101110000…
…1100110100100
310102111111212120
42323201212210
5100041033224
64513345540
71134561300
oct273414644
9112444776
1049158564
1125826614
12145682b0
13a252410
146758d00
1544b0779
hex2ee19a4

49158564 has 144 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 12628224.

The previous prime is 49158553. The next prime is 49158581. The reversal of 49158564 is 46585194.

49158564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 450942 + ... + 451050.

It is an arithmetic number, because the mean of its divisors is an integer number (1024100).

Almost surely, 249158564 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 49158564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735200).

49158564 is an abundant number, since it is smaller than the sum of its proper divisors (98311836).

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

49158564 is a wasteful number, since it uses less digits than its factorization.

49158564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 49158564 is about 7011.3168520614. The cubic root of 49158564 is about 366.3248631072.

The spelling of 49158564 in words is "forty-nine million, one hundred fifty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 59 78 84 91 98 109 118 147 156 177 182 196 218 236 273 294 327 354 364 413 436 546 588 637 654 708 763 767 826 1092 1239 1274 1308 1417 1526 1534 1652 1911 2289 2301 2478 2548 2834 2891 3052 3068 3822 4251 4578 4602 4956 5341 5369 5668 5782 6431 7644 8502 8673 9156 9204 9919 10682 10738 11564 12862 16023 16107 17004 17346 19293 19838 21364 21476 25724 29757 32046 32214 34692 37583 38586 39676 45017 59514 64092 64428 69433 75166 77172 83603 90034 112749 119028 135051 138866 150332 167206 180068 208299 225498 250809 270102 277732 315119 334412 416598 450996 501618 540204 585221 630238 833196 945357 1003236 1170442 1260476 1755663 1890714 2340884 3511326 3781428 4096547 7022652 8193094 12289641 16386188 24579282 49158564