Search a number
-
+
48006364 = 2274736479
BaseRepresentation
bin1011011100100…
…0010011011100
310100022222100111
42313020103130
544242200424
64432535404
71122022150
oct267102334
9110288314
1048006364
112510998a
12140b1564
139c3ab43
146539060
154334194
hex2dc84dc

48006364 has 24 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 20135856.

The previous prime is 48006349. The next prime is 48006377. The reversal of 48006364 is 46360084.

48006364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×480063642 = 4609221969000992, which contains 22 as substring.

It is a congruent number.

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, 16924 + ... + 19555.

It is an arithmetic number, because the mean of its divisors is an integer number (4085760).

Almost surely, 248006364 is an apocalyptic number.

It is an amenable number.

48006364 is an abundant number, since it is smaller than the sum of its proper divisors (50051876).

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

48006364 is a wasteful number, since it uses less digits than its factorization.

48006364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36537 (or 36535 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 48006364 is about 6928.6624971924. The cubic root of 48006364 is about 363.4401791837.

The spelling of 48006364 in words is "forty-eight million, six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 36479 72958 145916 255353 510706 1021412 1714513 3429026 6858052 12001591 24003182 48006364