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50349312 = 283213412
BaseRepresentation
bin1100000000010…
…0010100000000
310111202000021100
43000010110000
5100342134222
64555054400
71150650666
oct300042400
9114660240
1050349312
112646a202
1214a41400
13a57b3c0
146988c36
1546484ac
hex3004500

50349312 has 162 divisors, whose sum is σ = 160242446. Its totient is φ = 15114240.

The previous prime is 50349287. The next prime is 50349337. The reversal of 50349312 is 21394305.

50349312 is a `hidden beast` number, since 5 + 0 + 349 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (50349287) and next prime (50349337).

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 43877376 = 2544^2 + 6624^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1228012 + ... + 1228052.

Almost surely, 250349312 is an apocalyptic number.

50349312 is a gapful number since it is divisible by the number (52) 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 50349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80121223).

50349312 is an abundant number, since it is smaller than the sum of its proper divisors (109893134).

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

50349312 is a wasteful number, since it uses less digits than its factorization.

50349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 50349312 is about 7095.7249101131. The cubic root of 50349312 is about 369.2590773168.

The spelling of 50349312 in words is "fifty million, three hundred forty-nine thousand, three hundred twelve".