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49718916 = 2232132331149
BaseRepresentation
bin1011110110101…
…0011010000100
310110112222112100
42331222122010
5100212001131
64533352100
71142414052
oct275523204
9113488470
1049718916
1126079615
1214798630
13a3ba4a0
1468631d2
1545717e6
hex2f6a684

49718916 has 144 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 14065920.

The previous prime is 49718881. The next prime is 49718951. The reversal of 49718916 is 61981794.

It is a happy number.

49718916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49718881) and next prime (49718951).

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, 333610 + ... + 333758.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 249718916 is an apocalyptic number.

49718916 is a gapful number since it is divisible by the number (46) 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 49718916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

49718916 is an abundant number, since it is smaller than the sum of its proper divisors (97045884).

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

49718916 is a wasteful number, since it uses less digits than its factorization.

49718916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 49718916 is about 7051.1641592009. The cubic root of 49718916 is about 367.7115039632.

The spelling of 49718916 in words is "forty-nine million, seven hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 31 36 39 46 52 62 69 78 92 93 117 124 138 149 156 186 207 234 276 279 298 299 372 403 414 447 468 558 596 598 713 806 828 894 897 1116 1196 1209 1341 1426 1612 1788 1794 1937 2139 2418 2682 2691 2852 3427 3588 3627 3874 4278 4619 4836 5364 5382 5811 6417 6854 7254 7748 8556 9238 9269 10281 10764 11622 12834 13708 13857 14508 17433 18476 18538 20562 23244 25668 27714 27807 30843 34866 37076 41124 41571 44551 55428 55614 60047 61686 69732 83142 83421 89102 106237 111228 120094 123372 133653 166284 166842 178204 180141 212474 240188 267306 318711 333684 360282 400959 424948 534612 540423 637422 720564 801918 956133 1080846 1274844 1381081 1603836 1912266 2161692 2762162 3824532 4143243 5524324 8286486 12429729 16572972 24859458 49718916