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49180014 = 23313217317
BaseRepresentation
bin1011101110011…
…0110101101110
310102112121022000
42323212311232
5100042230024
64514033130
71135010652
oct273466556
9112477260
1049180014
1125840744
12145787a6
13a25c100
146762a62
1544b6cc9
hex2ee6d6e

49180014 has 96 divisors (see below), whose sum is σ = 125699040. Its totient is φ = 14197248.

The previous prime is 49179989. The next prime is 49180051. The reversal of 49180014 is 41008194.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 49180014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154984 + ... + 155300.

It is an arithmetic number, because the mean of its divisors is an integer number (1309365).

Almost surely, 249180014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49180014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62849520).

49180014 is an abundant number, since it is smaller than the sum of its proper divisors (76519026).

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

49180014 is a wasteful number, since it uses less digits than its factorization.

49180014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 49180014 is about 7012.8463550829. The cubic root of 49180014 is about 366.3781364677.

The spelling of 49180014 in words is "forty-nine million, one hundred eighty thousand, fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 234 306 317 338 351 442 459 507 634 663 702 918 951 1014 1326 1521 1902 1989 2853 2873 3042 3978 4121 4563 5389 5706 5746 5967 8242 8559 8619 9126 10778 11934 12363 16167 17118 17238 24726 25857 32334 37089 48501 51714 53573 70057 74178 77571 97002 107146 111267 140114 145503 155142 160719 210171 222534 291006 321438 420342 482157 630513 910741 964314 1261026 1446471 1821482 1891539 2732223 2892942 3783078 5464446 8196669 16393338 24590007 49180014