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49814912 = 277531049
BaseRepresentation
bin1011111000000…
…1110110000000
310110201212012202
42332001312000
5100223034122
64535412332
71143263660
oct276016600
9113655182
1049814912
1126134754
12148240a8
13a4220a4
14688a1a0
15458ee92
hex2f81d80

49814912 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 20926464.

The previous prime is 49814909. The next prime is 49814927. The reversal of 49814912 is 21941894.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 46964 + ... + 48012.

Almost surely, 249814912 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 49814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

49814912 is an abundant number, since it is smaller than the sum of its proper divisors (65853088).

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

49814912 is a wasteful number, since it uses less digits than its factorization.

49814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 49814912 is about 7057.9679795250. The cubic root of 49814912 is about 367.9480077776.

The spelling of 49814912 in words is "forty-nine million, eight hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1049 1484 1696 2098 2968 3392 4196 5936 6784 7343 8392 11872 14686 16784 23744 29372 33568 47488 55597 58744 67136 111194 117488 134272 222388 234976 389179 444776 469952 778358 889552 939904 1556716 1779104 3113432 3558208 6226864 7116416 12453728 24907456 49814912