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49384764 = 2232111353181
BaseRepresentation
bin1011110001100…
…0110100111100
310102221000011100
42330120310330
5100120303024
64522253100
71136522622
oct274306474
9112830140
1049384764
1125970560
1214657190
13a301370
1467b7512
1545077c9
hex2f18d3c

49384764 has 144 divisors (see below), whose sum is σ = 150250464. Its totient is φ = 13478400.

The previous prime is 49384759. The next prime is 49384789. The reversal of 49384764 is 46748394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272754 + ... + 272934.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 249384764 is an apocalyptic number.

49384764 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 49384764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75125232).

49384764 is an abundant number, since it is smaller than the sum of its proper divisors (100865700).

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

49384764 is a wasteful number, since it uses less digits than its factorization.

49384764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 49384764 is about 7027.4294019933. The cubic root of 49384764 is about 366.8858770006.

The spelling of 49384764 in words is "forty-nine million, three hundred eighty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 53 66 78 99 106 117 132 143 156 159 181 198 212 234 286 318 362 396 429 468 477 543 572 583 636 689 724 858 954 1086 1166 1287 1378 1629 1716 1749 1908 1991 2067 2172 2332 2353 2574 2756 3258 3498 3982 4134 4706 5148 5247 5973 6201 6516 6996 7059 7579 7964 8268 9412 9593 10494 11946 12402 14118 15158 17919 19186 20988 21177 22737 23892 24804 25883 28236 28779 30316 35838 38372 42354 45474 51766 57558 68211 71676 77649 84708 86337 90948 103532 105523 115116 124709 136422 155298 172674 211046 232947 249418 272844 310596 316569 345348 374127 422092 465894 498836 633138 748254 931788 949707 1122381 1266276 1371799 1496508 1899414 2244762 2743598 3798828 4115397 4489524 5487196 8230794 12346191 16461588 24692382 49384764