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50409936 = 24321971777
BaseRepresentation
bin1100000001001…
…1000111010000
310111212002102200
43000103013100
5100401104221
65000243200
71151322513
oct300230720
9114762380
1050409936
1126500805
1214a70500
13a59cb85
1469a2d7a
15465b426
hex30131d0

50409936 has 60 divisors (see below), whose sum is σ = 141873732. Its totient is φ = 16708608.

The previous prime is 50409923. The next prime is 50409949. The reversal of 50409936 is 63990405.

It is an interprime number because it is at equal distance from previous prime (50409923) and next prime (50409949).

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 9960336 = 6360^2 + 3156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50409936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27480 + ... + 29256.

Almost surely, 250409936 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 50409936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70936866).

50409936 is an abundant number, since it is smaller than the sum of its proper divisors (91463796).

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

50409936 is a wasteful number, since it uses less digits than its factorization.

50409936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 50409936 is about 7099.9954929563. The cubic root of 50409936 is about 369.4072222313.

The spelling of 50409936 in words is "fifty million, four hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 1777 2364 3152 3546 3554 4728 5331 7092 7108 9456 10662 14184 14216 15993 21324 28368 28432 31986 42648 63972 85296 127944 255888 350069 700138 1050207 1400276 2100414 2800552 3150621 4200828 5601104 6301242 8401656 12602484 16803312 25204968 50409936