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49834464 = 253796571
BaseRepresentation
bin1011111000011…
…0100111100000
310110202212000220
42332012213200
5100224200324
64540043040
71143404661
oct276064740
9113685026
1049834464
1126148409
1214833480
13a42ac64
146893368
154595b79
hex2f869e0

49834464 has 48 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 16398720.

The previous prime is 49834459. The next prime is 49834481. The reversal of 49834464 is 46443894.

49834464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4299 + ... + 10869.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 249834464 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 49834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

49834464 is an abundant number, since it is smaller than the sum of its proper divisors (82657056).

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

49834464 is a wasteful number, since it uses less digits than its factorization.

49834464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6655 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 49834464 is about 7059.3529448527. The cubic root of 49834464 is about 367.9961404762.

The spelling of 49834464 in words is "forty-nine million, eight hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 6571 7584 13142 19713 26284 39426 52568 78852 105136 157704 210272 315408 519109 630816 1038218 1557327 2076436 3114654 4152872 6229308 8305744 12458616 16611488 24917232 49834464