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49965056 = 21131787
BaseRepresentation
bin1011111010011…
…0100000000000
310111000111011122
42332212200000
5100242340211
64542531412
71144460501
oct276464000
9114014148
1049965056
1126227539
1214896b68
13a47552b
1468c8ba8
1545be6db
hex2fa6800

49965056 has 48 divisors (see below), whose sum is σ = 103259520. Its totient is φ = 24145920.

The previous prime is 49965053. The next prime is 49965077. The reversal of 49965056 is 65056994.

It is a junction number, because it is equal to n+sod(n) for n = 49964998 and 49965016.

It is not an unprimeable number, because it can be changed into a prime (49965053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63095 + ... + 63881.

It is an arithmetic number, because the mean of its divisors is an integer number (2151240).

Almost surely, 249965056 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 49965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51629760).

49965056 is an abundant number, since it is smaller than the sum of its proper divisors (53294464).

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

49965056 is an equidigital number, since it uses as much as digits as its factorization.

49965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 49965056 is about 7068.5964660603. The cubic root of 49965056 is about 368.3173066651.

The spelling of 49965056 in words is "forty-nine million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 787 992 1024 1574 1984 2048 3148 3968 6296 7936 12592 15872 24397 25184 31744 48794 50368 63488 97588 100736 195176 201472 390352 402944 780704 805888 1561408 1611776 3122816 6245632 12491264 24982528 49965056