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49121856 = 2633731131
BaseRepresentation
bin1011101101100…
…0101001000000
310102102122112000
42323120221000
5100033344411
64512504000
71134346260
oct273305100
9112378460
1049121856
1125800a83
121454b000
13a23b7b4
1467497a0
1544a4956
hex2ed8a40

49121856 has 224 divisors, whose sum is σ = 171663360. Its totient is φ = 13478400.

The previous prime is 49121827. The next prime is 49121869. The reversal of 49121856 is 65812194.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49121856.

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 31 ways as a sum of consecutive naturals, for example, 374911 + ... + 375041.

Almost surely, 249121856 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 49121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85831680).

49121856 is an abundant number, since it is smaller than the sum of its proper divisors (122541504).

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

49121856 is a wasteful number, since it uses less digits than its factorization.

49121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 49121856 is about 7008.6985953171. The cubic root of 49121856 is about 366.2336589136.

The spelling of 49121856 in words is "forty-nine million, one hundred twenty-one thousand, eight hundred fifty-six".