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49639680 = 2832531139
BaseRepresentation
bin1011110101011…
…1000100000000
310110101221211200
42331113010000
5100201432210
64531541200
71141634046
oct275270400
9113357750
1049639680
1126025032
121475a800
13a3903bc
146842396
1545580c0
hex2f57100

49639680 has 216 divisors, whose sum is σ = 178563840. Its totient is φ = 12718080.

The previous prime is 49639669. The next prime is 49639687. The reversal of 49639680 is 8693694.

49639680 is a `hidden beast` number, since 4 + 9 + 639 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49639687) 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, 357051 + ... + 357189.

Almost surely, 249639680 is an apocalyptic number.

49639680 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 49639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920).

49639680 is an abundant number, since it is smaller than the sum of its proper divisors (128924160).

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

49639680 is a wasteful number, since it uses less digits than its factorization.

49639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 49639680 is about 7045.5432721686. The cubic root of 49639680 is about 367.5160620496.

The spelling of 49639680 in words is "forty-nine million, six hundred thirty-nine thousand, six hundred eighty".