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48164460 = 22351575113
BaseRepresentation
bin1011011110111…
…0111001101100
310100122000012220
42313232321230
544312230320
64440155340
71123251111
oct267567154
9110560186
1048164460
1125207743
1214168b50
139c94aa6
14657a908
154365e40
hex2deee6c

48164460 has 48 divisors (see below), whose sum is σ = 135746016. Its totient is φ = 12759552.

The previous prime is 48164453. The next prime is 48164471. The reversal of 48164460 is 6446184.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6864 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (2828042).

Almost surely, 248164460 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 48164460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67873008).

48164460 is an abundant number, since it is smaller than the sum of its proper divisors (87581556).

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

48164460 is a wasteful number, since it uses less digits than its factorization.

48164460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48164460 is about 6940.0619593776. The cubic root of 48164460 is about 363.8387060616.

The spelling of 48164460 in words is "forty-eight million, one hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 5113 9420 10226 15339 20452 25565 30678 51130 61356 76695 102260 153390 306780 802741 1605482 2408223 3210964 4013705 4816446 8027410 9632892 12041115 16054820 24082230 48164460