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49675904 = 271737617
BaseRepresentation
bin1011110101111…
…1111010000000
310110110210112022
42331133322000
5100204112104
64532421012
71142144465
oct275377200
9113423468
1049675904
112604a273
1214777768
13a3a3a35
14685166c
154563bbe
hex2f5fe80

49675904 has 64 divisors (see below), whose sum is σ = 107791560. Its totient is φ = 22708224.

The previous prime is 49675903. The next prime is 49675939. The reversal of 49675904 is 40957694.

It can be written as a sum of positive squares in 4 ways, for example, as 44622400 + 5053504 = 6680^2 + 2248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49675903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80204 + ... + 80820.

Almost surely, 249675904 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 49675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53895780).

49675904 is an abundant number, since it is smaller than the sum of its proper divisors (58115656).

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

49675904 is a wasteful number, since it uses less digits than its factorization.

49675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 49675904 is about 7048.1135064640. The cubic root of 49675904 is about 367.6054372217.

The spelling of 49675904 in words is "forty-nine million, six hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 617 629 1088 1184 1234 1258 2176 2368 2468 2516 4736 4936 5032 9872 10064 10489 19744 20128 20978 22829 39488 40256 41956 45658 78976 80512 83912 91316 167824 182632 335648 365264 388093 671296 730528 776186 1342592 1461056 1552372 2922112 3104744 6209488 12418976 24837952 49675904