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49056840 = 2335572103
BaseRepresentation
bin1011101100100…
…0110001001000
310102022100100000
42323020301020
5100024304330
64511243000
71133655600
oct273106110
9112270300
1049056840
1125767148
1214519460
13a218021
14672dc00
154490560
hex2ec8c48

49056840 has 288 divisors, whose sum is σ = 194201280. Its totient is φ = 11104128.

The previous prime is 49056827. The next prime is 49056863. The reversal of 49056840 is 4865094.

49056840 is a `hidden beast` number, since 4 + 90 + 568 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49056795 and 49056804.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 476229 + ... + 476331.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 249056840 is an apocalyptic number.

49056840 is a gapful number since it is divisible by the number (40) 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 49056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

49056840 is an abundant number, since it is smaller than the sum of its proper divisors (145144440).

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

49056840 is a wasteful number, since it uses less digits than its factorization.

49056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49056840 is about 7004.0588232824. The cubic root of 49056840 is about 366.0720094810.

The spelling of 49056840 in words is "forty-nine million, fifty-six thousand, eight hundred forty".