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50013312 = 273139937
BaseRepresentation
bin1011111011001…
…0010010000000
310111002221100220
42332302102000
5100300411222
64543543040
71145051256
oct276622200
9114087326
1050013312
112625a818
12148baa80
13a49149b
1468dc5d6
1545cdb5c
hex2fb2480

50013312 has 64 divisors (see below), whose sum is σ = 133946400. Its totient is φ = 16533504.

The previous prime is 50013251. The next prime is 50013347. The reversal of 50013312 is 21331005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 50013291 and 50013300.

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 7 ways as a sum of consecutive naturals, for example, 52908 + ... + 53844.

Almost surely, 250013312 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 50013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66973200).

50013312 is an abundant number, since it is smaller than the sum of its proper divisors (83933088).

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

50013312 is a wasteful number, since it uses less digits than its factorization.

50013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 50013312 is about 7072.0090497680. The cubic root of 50013312 is about 368.4358415145.

Adding to 50013312 its reverse (21331005), we get a palindrome (71344317).

The spelling of 50013312 in words is "fifty million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 937 1112 1668 1874 2224 2811 3336 3748 4448 5622 6672 7496 8896 11244 13344 14992 17792 22488 26688 29984 44976 53376 59968 89952 119936 130243 179904 260486 359808 390729 520972 781458 1041944 1562916 2083888 3125832 4167776 6251664 8335552 12503328 16671104 25006656 50013312