Search a number
-
+
49095744 = 263376911
BaseRepresentation
bin1011101101001…
…0010001000000
310102101022200220
42323102101000
5100032030434
64512143040
71134210165
oct273222100
9112338626
1049095744
11257933a5
1214537a80
13a22c949
14674006c
15449bd49
hex2ed2440

49095744 has 56 divisors (see below), whose sum is σ = 133429248. Its totient is φ = 15920640.

The previous prime is 49095743. The next prime is 49095751. The reversal of 49095744 is 44759094.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49095696 and 49095705.

It is not an unprimeable number, because it can be changed into a prime (49095743) 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, 3649 + ... + 10559.

Almost surely, 249095744 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 49095744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

49095744 is an abundant number, since it is smaller than the sum of its proper divisors (84333504).

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

49095744 is a wasteful number, since it uses less digits than its factorization.

49095744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 49095744 is about 7006.8355196908. The cubic root of 49095744 is about 366.1687537364.

The spelling of 49095744 in words is "forty-nine million, ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6911 7104 13822 20733 27644 41466 55288 82932 110576 165864 221152 255707 331728 442304 511414 663456 767121 1022828 1326912 1534242 2045656 3068484 4091312 6136968 8182624 12273936 16365248 24547872 49095744