Search a number
-
+
49433472 = 2732114783
BaseRepresentation
bin1011110010010…
…0101110000000
310110000110222100
42330210232000
5100123332342
64523310400
71140114624
oct274445600
9113013870
1049433472
11259a4110
121467b400
13a31a59a
1467cb184
154516e4c
hex2f24b80

49433472 has 192 divisors, whose sum is σ = 160392960. Its totient is φ = 14484480.

The previous prime is 49433411. The next prime is 49433479. The reversal of 49433472 is 27433494.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49433479) 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 23 ways as a sum of consecutive naturals, for example, 595543 + ... + 595625.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 249433472 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 49433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

49433472 is an abundant number, since it is smaller than the sum of its proper divisors (110959488).

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

49433472 is a wasteful number, since it uses less digits than its factorization.

49433472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 49433472 is about 7030.8941109933. The cubic root of 49433472 is about 367.0064567364.

The spelling of 49433472 in words is "forty-nine million, four hundred thirty-three thousand, four hundred seventy-two".