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49995000 = 23325411101
BaseRepresentation
bin1011111010110…
…1110011111000
310111002000020200
42332231303320
5100244320000
64543322200
71144644006
oct276556370
9114060220
1049995000
1126247a90
12148b0360
13a486053
1468d5a76
1545c8500

49995000 has 240 divisors, whose sum is σ = 186409080. Its totient is φ = 12000000.

The previous prime is 49994993. The next prime is 49995041. The reversal of 49995000 is 59994.

It can be divided in two parts, 4999 and 5000, that added together give a palindrome (9999).

49995000 is a nontrivial binomial coefficient, being equal to C(10000, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 Kaprekar number, because its square (2499500025000000) can be partitioned into two parts whose sum is 49995000.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494950 + ... + 495050.

Almost surely, 249995000 is an apocalyptic number.

49995000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49995000 is the 9999-th triangular number and also the 5000-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204540).

49995000 is an abundant number, since it is smaller than the sum of its proper divisors (136414080).

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

49995000 is a wasteful number, since it uses less digits than its factorization.

49995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 49995000 is about 7070.7142496356. The cubic root of 49995000 is about 368.3908693497.

The spelling of 49995000 in words is "forty-nine million, nine hundred ninety-five thousand".