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49685064 = 233111331467
BaseRepresentation
bin1011110110001…
…0001001001000
310110111021002120
42331202021020
5100204410224
64532531240
71142213262
oct275421110
9113437076
1049685064
1126056140
1214780b20
13a3a7c60
146854b32
154566779
hex2f62248

49685064 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 13420800.

The previous prime is 49685059. The next prime is 49685087. The reversal of 49685064 is 46058694.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106159 + ... + 106625.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 249685064 is an apocalyptic number.

49685064 is a gapful number since it is divisible by the number (44) 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 49685064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

49685064 is an abundant number, since it is smaller than the sum of its proper divisors (101273016).

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

49685064 is a wasteful number, since it uses less digits than its factorization.

49685064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 49685064 is about 7048.7632957846. The cubic root of 49685064 is about 367.6280307301.

The spelling of 49685064 in words is "forty-nine million, six hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 467 572 682 744 806 858 934 1023 1144 1209 1364 1401 1612 1716 1868 2046 2418 2728 2802 3224 3432 3736 4092 4433 4836 5137 5604 6071 8184 8866 9672 10274 11208 12142 13299 14477 15411 17732 18213 20548 24284 26598 28954 30822 35464 36426 41096 43431 48568 53196 57908 61644 66781 72852 86862 106392 115816 123288 133562 145704 159247 173724 188201 200343 267124 318494 347448 376402 400686 477741 534248 564603 636988 752804 801372 955482 1129206 1273976 1505608 1602744 1910964 2070211 2258412 3821928 4140422 4516824 6210633 8280844 12421266 16561688 24842532 49685064