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49891050440 = 235711192333659
BaseRepresentation
bin101110011101101111…
…010000001111001000
311202202222210221220222
4232131233100033020
51304134102103230
634530350205212
73414226634360
oct563557201710
9152688727828
1049891050440
111a1822196a0
1298044b3808
13492131482a
1425b408d9a0
1514700236e5
hexb9dbd03c8

49891050440 has 256 divisors, whose sum is σ = 147992832000. Its totient is φ = 14664775680.

The previous prime is 49891050439. The next prime is 49891050481. The reversal of 49891050440 is 4405019894.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 49891050391 and 49891050400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13633331 + ... + 13636989.

It is an arithmetic number, because the mean of its divisors is an integer number (578097000).

Almost surely, 249891050440 is an apocalyptic number.

49891050440 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 49891050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73996416000).

49891050440 is an abundant number, since it is smaller than the sum of its proper divisors (98101781560).

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

49891050440 is a wasteful number, since it uses less digits than its factorization.

49891050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 49891050440 in words is "forty-nine billion, eight hundred ninety-one million, fifty thousand, four hundred forty".