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49623952 = 2471767389
BaseRepresentation
bin1011110101001…
…1001110010000
310110101011021011
42331103032100
5100200431302
64531340304
71141540150
oct275231620
9113334234
1049623952
1126014234
1214751694
13a3861b1
14683a760
1545535d7
hex2f53390

49623952 has 80 divisors (see below), whose sum is σ = 118385280. Its totient is φ = 19666944.

The previous prime is 49623947. The next prime is 49623971. The reversal of 49623952 is 25932694.

49623952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×496239522 = 4925073224196608, which contains 22 as substring.

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, 127374 + ... + 127762.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 249623952 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 49623952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640).

49623952 is an abundant number, since it is smaller than the sum of its proper divisors (68761328).

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

49623952 is a wasteful number, since it uses less digits than its factorization.

49623952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 49623952 is about 7044.4270171533. The cubic root of 49623952 is about 367.4772429489.

The spelling of 49623952 in words is "forty-nine million, six hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 67 68 112 119 134 136 238 268 272 389 469 476 536 778 938 952 1072 1139 1556 1876 1904 2278 2723 3112 3752 4556 5446 6224 6613 7504 7973 9112 10892 13226 15946 18224 21784 26063 26452 31892 43568 46291 52126 52904 63784 92582 104252 105808 127568 182441 185164 208504 364882 370328 417008 443071 729764 740656 886142 1459528 1772284 2919056 3101497 3544568 6202994 7089136 12405988 24811976 49623952