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49080192 = 273719312
BaseRepresentation
bin1011101100111…
…0011110000000
310102100112100220
42323032132000
5100031031232
64511543040
71134113640
oct273163600
9112315326
1049080192
1125782747
121452aa80
13a225845
146738520
15449742c
hex2ece780

49080192 has 192 divisors, whose sum is σ = 162057600. Its totient is φ = 12856320.

The previous prime is 49080181. The next prime is 49080203. The reversal of 49080192 is 29108094.

49080192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49080181) and next prime (49080203).

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

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 23 ways as a sum of consecutive naturals, for example, 1583217 + ... + 1583247.

It is an arithmetic number, because the mean of its divisors is an integer number (844050).

Almost surely, 249080192 is an apocalyptic number.

49080192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81028800).

49080192 is an abundant number, since it is smaller than the sum of its proper divisors (112977408).

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

49080192 is a wasteful number, since it uses less digits than its factorization.

49080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 49080192 is about 7005.7256583455. The cubic root of 49080192 is about 366.1300860408.

The spelling of 49080192 in words is "forty-nine million, eighty thousand, one hundred ninety-two".