Search a number
-
+
48731256 = 23327313119
BaseRepresentation
bin1011100111100…
…1010001111000
310101200210201100
42321321101320
544433400011
64500251400
71131131430
oct271712170
9111623640
1048731256
1125564572
12143a0b60
13a132a82
1466872c0
154428d56
hex2e79478

48731256 has 96 divisors (see below), whose sum is σ = 155750400. Its totient is φ = 13469760.

The previous prime is 48731239. The next prime is 48731269. The reversal of 48731256 is 65213784.

It is a super-2 number, since 2×487312562 = 4749470622675072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48731256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14065 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (1622400).

Almost surely, 248731256 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 48731256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77875200).

48731256 is an abundant number, since it is smaller than the sum of its proper divisors (107019144).

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

48731256 is a wasteful number, since it uses less digits than its factorization.

48731256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3162 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48731256 is about 6980.7776071151. Note that the first 3 decimals coincide. The cubic root of 48731256 is about 365.2603534346.

The spelling of 48731256 in words is "forty-eight million, seven hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3119 3906 5208 6238 7812 9357 12476 15624 18714 21833 24952 28071 37428 43666 56142 65499 74856 87332 96689 112284 130998 174664 193378 196497 224568 261996 290067 386756 392994 523992 580134 676823 773512 785988 870201 1160268 1353646 1571976 1740402 2030469 2320536 2707292 3480804 4060938 5414584 6091407 6961608 8121876 12182814 16243752 24365628 48731256