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48315204 = 22387263
BaseRepresentation
bin1011100001001…
…1101101000100
310100220200000000
42320103231010
544332041304
64443321300
71124446440
oct270235504
9110820000
1048315204
11252aaa23
1214220230
13a0185a2
1465b9820
154395939
hex2e13b44

48315204 has 108 divisors (see below), whose sum is σ = 145489344. Its totient is φ = 13751856.

The previous prime is 48315199. The next prime is 48315209. The reversal of 48315204 is 40251384.

It is an interprime number because it is at equal distance from previous prime (48315199) and next prime (48315209).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48315209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183577 + ... + 183839.

Almost surely, 248315204 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 48315204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72744672).

48315204 is an abundant number, since it is smaller than the sum of its proper divisors (97174140).

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

48315204 is an equidigital number, since it uses as much as digits as its factorization.

48315204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48315204 is about 6950.9138967477. The cubic root of 48315204 is about 364.2178887071.

Adding to 48315204 its reverse (40251384), we get a palindrome (88566588).

The spelling of 48315204 in words is "forty-eight million, three hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 263 324 378 486 526 567 729 756 789 972 1052 1134 1458 1578 1701 1841 2187 2268 2367 2916 3156 3402 3682 4374 4734 5103 5523 6561 6804 7101 7364 8748 9468 10206 11046 13122 14202 15309 16569 20412 21303 22092 26244 28404 30618 33138 42606 45927 49707 61236 63909 66276 85212 91854 99414 127818 149121 183708 191727 198828 255636 298242 383454 447363 575181 596484 766908 894726 1150362 1342089 1725543 1789452 2300724 2684178 3451086 4026267 5368356 6902172 8052534 12078801 16105068 24157602 48315204