Search a number
-
+
49059456 = 273251509
BaseRepresentation
bin1011101100100…
…1011010000000
310102022110220220
42323021122000
5100024400311
64511303040
71133666325
oct273113200
9112273826
1049059456
1125769106
121451aa80
13a219284
146730b4c
154491206
hex2ec9680

49059456 has 64 divisors (see below), whose sum is σ = 131090400. Its totient is φ = 16256000.

The previous prime is 49059427. The next prime is 49059457. The reversal of 49059456 is 65495094.

It is a happy number.

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

It is a super-3 number, since 3×490594563 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (49059457) by changing a digit.

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, 96130 + ... + 96638.

Almost surely, 249059456 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 49059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545200).

49059456 is an abundant number, since it is smaller than the sum of its proper divisors (82030944).

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

49059456 is a wasteful number, since it uses less digits than its factorization.

49059456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 49059456 is about 7004.2455696527. The cubic root of 49059456 is about 366.0785164047.

The spelling of 49059456 in words is "forty-nine million, fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 509 753 1004 1018 1506 1527 2008 2036 3012 3054 4016 4072 6024 6108 8032 8144 12048 12216 16064 16288 24096 24432 32128 32576 48192 48864 65152 96384 97728 127759 195456 255518 383277 511036 766554 1022072 1533108 2044144 3066216 4088288 6132432 8176576 12264864 16353152 24529728 49059456