Search a number
-
+
49999680 = 26355643
BaseRepresentation
bin1011111010111…
…0111101000000
310111002020200000
42332232331000
5100244442210
64543400000
71144663443
oct276567500
9114066600
1049999680
1126250555
12148b3000
13a488213
1468d765a
1545c9ac0
hex2faef40

49999680 has 168 divisors, whose sum is σ = 178624992. Its totient is φ = 13312512.

The previous prime is 49999673. The next prime is 49999693. The reversal of 49999680 is 8699994.

It is a happy number.

49999680 is a `hidden beast` number, since 499 + 99 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77439 + ... + 78081.

It is an arithmetic number, because the mean of its divisors is an integer number (1063244).

Almost surely, 249999680 is an apocalyptic number.

49999680 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 49999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89312496).

49999680 is an abundant number, since it is smaller than the sum of its proper divisors (128625312).

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

49999680 is an equidigital number, since it uses as much as digits as its factorization.

49999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 49999680 is about 7071.0451844123. The cubic root of 49999680 is about 368.4023639356.

The spelling of 49999680 in words is "forty-nine million, nine hundred ninety-nine thousand, six hundred eighty".