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50146304 = 210133767
BaseRepresentation
bin1011111101001…
…0110000000000
310111100200210112
42333102300000
5100314140204
64550450452
71146144065
oct277226000
9114320715
1050146304
112634072a
1214963a28
13a509b90
146934c6c
15460826e
hex2fd2c00

50146304 has 44 divisors (see below), whose sum is σ = 107983344. Its totient is φ = 23138304.

The previous prime is 50146289. The next prime is 50146309. The reversal of 50146304 is 40364105.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 50146304.

It is not an unprimeable number, because it can be changed into a prime (50146309) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11429 + ... + 15195.

Almost surely, 250146304 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 50146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53991672).

50146304 is an abundant number, since it is smaller than the sum of its proper divisors (57837040).

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

50146304 is a wasteful number, since it uses less digits than its factorization.

50146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 50146304 is about 7081.4055102077. The cubic root of 50146304 is about 368.7621256570.

The spelling of 50146304 in words is "fifty million, one hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 3767 6656 7534 13312 15068 30136 48971 60272 97942 120544 195884 241088 391768 482176 783536 964352 1567072 1928704 3134144 3857408 6268288 12536576 25073152 50146304