Search a number
-
+
49074912 = 2532832053
BaseRepresentation
bin1011101100110…
…1001011100000
310102100021010100
42323031023200
5100030344122
64511502400
71134062355
oct273151340
9112307110
1049074912
1125779787
1214527a00
13a223313
14673662c
154495aac
hex2ecd2e0

49074912 has 72 divisors (see below), whose sum is σ = 141306984. Its totient is φ = 16153344.

The previous prime is 49074881. The next prime is 49074947. The reversal of 49074912 is 21947094.

49074912 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 22878 + ... + 24930.

It is an arithmetic number, because the mean of its divisors is an integer number (1962597).

Almost surely, 249074912 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 49074912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70653492).

49074912 is an abundant number, since it is smaller than the sum of its proper divisors (92232072).

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

49074912 is a wasteful number, since it uses less digits than its factorization.

49074912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 49074912 is about 7005.3488135852. The cubic root of 49074912 is about 366.1169562620.

The spelling of 49074912 in words is "forty-nine million, seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2053 2656 2988 3984 4106 5976 6159 7968 8212 11952 12318 16424 18477 23904 24636 32848 36954 49272 65696 73908 98544 147816 170399 197088 295632 340798 511197 591264 681596 1022394 1363192 1533591 2044788 2726384 3067182 4089576 5452768 6134364 8179152 12268728 16358304 24537456 49074912