Search a number
-
+
49840560 = 243257112931
BaseRepresentation
bin1011111000100…
…0000110110000
310110210011101200
42332020012300
5100224344220
64540131200
71143431520
oct276100660
9113704350
1049840560
1126151a50
1214836b00
13a430973
146895680
154597890
hex2f881b0

49840560 has 480 divisors, whose sum is σ = 222842880. Its totient is φ = 9676800.

The previous prime is 49840541. The next prime is 49840579. The reversal of 49840560 is 6504894.

49840560 is a `hidden beast` number, since 4 + 98 + 4 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (49840541) and next prime (49840579).

It is a super-2 number, since 2×498405602 = 4968162842227200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607745 + ... + 1607775.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 249840560 is an apocalyptic number.

49840560 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 49840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

49840560 is an abundant number, since it is smaller than the sum of its proper divisors (173002320).

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

49840560 is a wasteful number, since it uses less digits than its factorization.

49840560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49840560 is about 7059.7846992667. The cubic root of 49840560 is about 368.0111449051.

The spelling of 49840560 in words is "forty-nine million, eight hundred forty thousand, five hundred sixty".