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49861440 = 2633529199
BaseRepresentation
bin1011111000110…
…1001101000000
310110211020001000
42332031031000
5100231031230
64540412000
71143546426
oct276151500
9113736030
1049861440
1126166702
1214847000
13a43a315
14689d116
15459db60
hex2f8d340

49861440 has 224 divisors, whose sum is σ = 182880000. Its totient is φ = 12773376.

The previous prime is 49861417. The next prime is 49861451. The reversal of 49861440 is 4416894.

It is a happy number.

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 = 49861395 and 49861404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250461 + ... + 250659.

Almost surely, 249861440 is an apocalyptic number.

49861440 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 49861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440000).

49861440 is an abundant number, since it is smaller than the sum of its proper divisors (133018560).

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

49861440 is a wasteful number, since it uses less digits than its factorization.

49861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49861440 is about 7061.2633430570. The cubic root of 49861440 is about 368.0625287573.

The spelling of 49861440 in words is "forty-nine million, eight hundred sixty-one thousand, four hundred forty".