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49950992 = 247213329
BaseRepresentation
bin1011111010001…
…1000100010000
310110222202212202
42332203010100
5100241412432
64542342332
71144401500
oct276430420
9113882782
1049950992
1126217a13
121488a9a8
13a46c000
1468c3a00
1545ba462
hex2fa3110

49950992 has 120 divisors (see below), whose sum is σ = 126163800. Its totient is φ = 19079424.

The previous prime is 49950959. The next prime is 49951001. The reversal of 49950992 is 29905994.

It can be written as a sum of positive squares in 4 ways, for example, as 14714896 + 35236096 = 3836^2 + 5936^2 .

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 23 ways as a sum of consecutive naturals, for example, 1722434 + ... + 1722462.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 249950992 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 49950992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081900).

49950992 is an abundant number, since it is smaller than the sum of its proper divisors (76212808).

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

49950992 is a wasteful number, since it uses less digits than its factorization.

49950992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The square root of 49950992 is about 7067.6015733769. The cubic root of 49950992 is about 368.2827458399.

The spelling of 49950992 in words is "forty-nine million, nine hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 169 182 196 203 208 232 338 364 377 392 406 464 637 676 728 754 784 812 1183 1274 1352 1421 1456 1508 1624 2197 2366 2548 2639 2704 2842 3016 3248 4394 4732 4901 5096 5278 5684 6032 8281 8788 9464 9802 10192 10556 11368 15379 16562 17576 18473 18928 19604 21112 22736 30758 33124 34307 35152 36946 39208 42224 61516 63713 66248 68614 73892 78416 107653 123032 127426 132496 137228 147784 215306 240149 246064 254852 274456 295568 430612 445991 480298 509704 548912 861224 891982 960596 1019408 1722448 1783964 1921192 3121937 3567928 3842384 6243874 7135856 12487748 24975496 49950992