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50742432 = 25321313553
BaseRepresentation
bin1100000110010…
…0010010100000
310112110222112100
43001210102200
5100442224212
65011330400
71154206056
oct301442240
9115428470
1050742432
11267085a4
1214bb0a00
13a688310
146a4c1d6
1546c4bdc
hex30644a0

50742432 has 72 divisors (see below), whose sum is σ = 155410164. Its totient is φ = 15611904.

The previous prime is 50742403. The next prime is 50742437. The reversal of 50742432 is 23424705.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 104976 = 7116^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 50742396 and 50742405.

It is not an unprimeable number, because it can be changed into a prime (50742437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3033 + ... + 10520.

Almost surely, 250742432 is an apocalyptic number.

50742432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

50742432 is an abundant number, since it is smaller than the sum of its proper divisors (104667732).

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

50742432 is a wasteful number, since it uses less digits than its factorization.

50742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13582 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 50742432 is about 7123.3722351145. The cubic root of 50742432 is about 370.2176270231.

The spelling of 50742432 in words is "fifty million, seven hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13553 27106 40659 54212 81318 108424 121977 162636 176189 216848 243954 325272 352378 433696 487908 528567 650544 704756 975816 1057134 1301088 1409512 1585701 1951632 2114268 2819024 3171402 3903264 4228536 5638048 6342804 8457072 12685608 16914144 25371216 50742432