Search a number
-
+
45763048 = 2317973469
BaseRepresentation
bin1010111010010…
…0100111101000
310012010000002201
42232210213220
543203404143
64312505544
71063656652
oct256444750
9105100081
1045763048
1123917501
12133ab2b4
139633a36
1461136d2
15403e64d
hex2ba49e8

45763048 has 32 divisors (see below), whose sum is σ = 91816200. Its totient is φ = 21307392.

The previous prime is 45763033. The next prime is 45763057. The reversal of 45763048 is 84036754.

45763048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32058244 + 13704804 = 5662^2 + 3702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45762998 and 45763016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11458 + ... + 14926.

Almost surely, 245763048 is an apocalyptic number.

It is an amenable number.

45763048 is an abundant number, since it is smaller than the sum of its proper divisors (46053152).

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

45763048 is a wasteful number, since it uses less digits than its factorization.

45763048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 45763048 is about 6764.8390963866. The cubic root of 45763048 is about 357.6885028023.

The spelling of 45763048 in words is "forty-five million, seven hundred sixty-three thousand, forty-eight".

Divisors: 1 2 4 8 17 34 68 97 136 194 388 776 1649 3298 3469 6596 6938 13192 13876 27752 58973 117946 235892 336493 471784 672986 1345972 2691944 5720381 11440762 22881524 45763048