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49428720 = 2432511792
BaseRepresentation
bin1011110010001…
…1100011110000
310110000020110100
42330203203300
5100123204340
64523232400
71140065025
oct274434360
9113006410
1049428720
11259a0590
1214678700
13a318383
1467c954c
154515830
hex2f238f0

49428720 has 180 divisors, whose sum is σ = 183410136. Its totient is φ = 11831040.

The previous prime is 49428719. The next prime is 49428733. The reversal of 49428720 is 2782494.

49428720 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 (180).

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 35 ways as a sum of consecutive naturals, for example, 625641 + ... + 625719.

Almost surely, 249428720 is an apocalyptic number.

49428720 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 49428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91705068).

49428720 is an abundant number, since it is smaller than the sum of its proper divisors (133981416).

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

49428720 is a wasteful number, since it uses less digits than its factorization.

49428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49428720 is about 7030.5561657667. The cubic root of 49428720 is about 366.9946963475.

The spelling of 49428720 in words is "forty-nine million, four hundred twenty-eight thousand, seven hundred twenty".