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50505768 = 2334411901
BaseRepresentation
bin1100000010101…
…0100000101000
310112000221220000
43000222200220
5100412141033
65002303000
71152202065
oct300524050
9115027800
1050505768
1126566805
1214ab7a60
13a604691
1469c9c6c
154679a13
hex302a828

50505768 has 80 divisors (see below), whose sum is σ = 144989460. Its totient is φ = 16416000.

The previous prime is 50505761. The next prime is 50505773. The reversal of 50505768 is 86750505.

It can be written as a sum of positive squares in 2 ways, for example, as 37675044 + 12830724 = 6138^2 + 3582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50505761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25618 + ... + 27518.

Almost surely, 250505768 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 50505768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72494730).

50505768 is an abundant number, since it is smaller than the sum of its proper divisors (94483692).

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

50505768 is a wasteful number, since it uses less digits than its factorization.

50505768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 50505768 is about 7106.7410252520. The cubic root of 50505768 is about 369.6411617170.

The spelling of 50505768 in words is "fifty million, five hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 1901 2214 2952 3321 3802 4428 5703 6642 7604 8856 11406 13284 15208 17109 22812 26568 34218 45624 51327 68436 77941 102654 136872 153981 155882 205308 233823 307962 311764 410616 467646 615924 623528 701469 935292 1231848 1402938 1870584 2104407 2805876 4208814 5611752 6313221 8417628 12626442 16835256 25252884 50505768