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48616164 = 22321350449
BaseRepresentation
bin1011100101110…
…1001011100100
310101110221211200
42321131023210
544421204124
64454002500
71130142042
oct271351344
9111427750
1048616164
1125496053
1214346430
13a0c257c
146657392
154404bc9
hex2e5d2e4

48616164 has 18 divisors (see below), whose sum is σ = 122890950. Its totient is φ = 16205376.

The previous prime is 48616163. The next prime is 48616229. The reversal of 48616164 is 46161684.

48616164 is a `hidden beast` number, since 486 + 16 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36505764 + 12110400 = 6042^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1350449 = 48616164 / (4 + 8 + 6 + 1 + 6 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (48616163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675189 + ... + 675260.

It is an arithmetic number, because the mean of its divisors is an integer number (6827275).

Almost surely, 248616164 is an apocalyptic number.

It is an amenable number.

48616164 is an abundant number, since it is smaller than the sum of its proper divisors (74274786).

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

48616164 is a wasteful number, since it uses less digits than its factorization.

48616164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350459 (or 1350454 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48616164 is about 6972.5292398096. The cubic root of 48616164 is about 364.9725731565.

It can be divided in two parts, 4861 and 6164, that added together give a square (11025 = 1052).

The spelling of 48616164 in words is "forty-eight million, six hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1350449 2700898 4051347 5401796 8102694 12154041 16205388 24308082 48616164