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49879944 = 23324161277
BaseRepresentation
bin1011111001000…
…1101110001000
310110212011102100
42332101232020
5100232124234
64541033400
71143654402
oct276215610
9113764370
1049879944
11261795a4
1214855860
13a44587a
1468a5b72
1545a4399
hex2f91b88

49879944 has 96 divisors (see below), whose sum is σ = 141162840. Its totient is φ = 15897600.

The previous prime is 49879937. The next prime is 49879967. The reversal of 49879944 is 44997894.

It is a happy number.

49879944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8122500 + 41757444 = 2850^2 + 6462^2 .

Its product of digits (2612736) is a multiple of the sum of its prime divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 179934 + ... + 180210.

Almost surely, 249879944 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 49879944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70581420).

49879944 is an abundant number, since it is smaller than the sum of its proper divisors (91282896).

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

49879944 is a wasteful number, since it uses less digits than its factorization.

49879944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49879944 is about 7062.5734686444. The cubic root of 49879944 is about 368.1080534935.

The spelling of 49879944 in words is "forty-nine million, eight hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 61 72 82 122 123 164 183 244 246 277 328 366 369 488 492 549 554 732 738 831 984 1098 1108 1464 1476 1662 2196 2216 2493 2501 2952 3324 4392 4986 5002 6648 7503 9972 10004 11357 15006 16897 19944 20008 22509 22714 30012 33794 34071 45018 45428 50691 60024 67588 68142 90036 90856 101382 102213 135176 136284 152073 180072 202764 204426 272568 304146 405528 408852 608292 692777 817704 1216584 1385554 2078331 2771108 4156662 5542216 6234993 8313324 12469986 16626648 24939972 49879944