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49986816 = 283116197
BaseRepresentation
bin1011111010101…
…1110100000000
310111001121000120
42332223310000
5100244034231
64543220240
71144611105
oct276536400
9114047016
1049986816
1126241920
12148a7680
13a4823c9
1468d2aac
1545c5d96
hex2fabd00

49986816 has 144 divisors (see below), whose sum is σ = 149032128. Its totient is φ = 14745600.

The previous prime is 49986773. The next prime is 49986829. The reversal of 49986816 is 61868994.

It is a happy number.

49986816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 515280 + ... + 515376.

Almost surely, 249986816 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 49986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74516064).

49986816 is an abundant number, since it is smaller than the sum of its proper divisors (99045312).

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

49986816 is a wasteful number, since it uses less digits than its factorization.

49986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 49986816 is about 7070.1355008232. The cubic root of 49986816 is about 368.3707668368.

The spelling of 49986816 in words is "forty-nine million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 97 122 128 132 176 183 192 194 244 256 264 291 352 366 384 388 488 528 582 671 704 732 768 776 976 1056 1067 1164 1342 1408 1464 1552 1952 2013 2112 2134 2328 2684 2816 2928 3104 3201 3904 4026 4224 4268 4656 5368 5856 5917 6208 6402 7808 8052 8448 8536 9312 10736 11712 11834 12416 12804 15616 16104 17072 17751 18624 21472 23424 23668 24832 25608 32208 34144 35502 37248 42944 46848 47336 51216 64416 65087 68288 71004 74496 85888 94672 102432 128832 130174 136576 142008 171776 189344 195261 204864 257664 260348 273152 284016 378688 390522 409728 515328 520696 568032 757376 781044 819456 1041392 1136064 1514752 1562088 2082784 2272128 3124176 4165568 4544256 6248352 8331136 12496704 16662272 24993408 49986816