Search a number
-
+
50214912 = 211311743
BaseRepresentation
bin1011111110001…
…1100000000000
310111111011220120
42333203200000
5100323334122
64552140240
71146551106
oct277434000
9114434816
1050214912
1126388230
1214997680
13a532187
146951c76
15461d75c
hex2fe3800

50214912 has 96 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 15196160.

The previous prime is 50214907. The next prime is 50214943. The reversal of 50214912 is 21941205.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 67213 + ... + 67955.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 250214912 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 50214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

50214912 is an abundant number, since it is smaller than the sum of its proper divisors (96025728).

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

50214912 is a wasteful number, since it uses less digits than its factorization.

50214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 50214912 is about 7086.2480904919. The cubic root of 50214912 is about 368.9302238053.

The spelling of 50214912 in words is "fifty million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 743 768 1024 1056 1408 1486 1536 2048 2112 2229 2816 2972 3072 4224 4458 5632 5944 6144 8173 8448 8916 11264 11888 16346 16896 17832 22528 23776 24519 32692 33792 35664 47552 49038 65384 67584 71328 95104 98076 130768 142656 190208 196152 261536 285312 380416 392304 523072 570624 760832 784608 1046144 1141248 1521664 1569216 2092288 2282496 3138432 4184576 4564992 6276864 8369152 12553728 16738304 25107456 50214912