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48112488 = 2333353631
BaseRepresentation
bin1011011110001…
…0001101101000
310100112100221000
42313202031220
544304044423
64435115000
71122643434
oct267421550
9110470830
1048112488
1125181696
1214142a60
139c77238
1465659c4
154355843
hex2de2368

48112488 has 64 divisors (see below), whose sum is σ = 134236800. Its totient is φ = 15966720.

The previous prime is 48112459. The next prime is 48112489. The reversal of 48112488 is 88421184.

It is a happy number.

48112488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48112489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75933 + ... + 76563.

It is an arithmetic number, because the mean of its divisors is an integer number (2097450).

Almost surely, 248112488 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 48112488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67118400).

48112488 is an abundant number, since it is smaller than the sum of its proper divisors (86124312).

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

48112488 is a wasteful number, since it uses less digits than its factorization.

48112488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 48112488 is about 6936.3166017707. The cubic root of 48112488 is about 363.7077918928.

The spelling of 48112488 in words is "forty-eight million, one hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 353 631 706 1059 1262 1412 1893 2118 2524 2824 3177 3786 4236 5048 5679 6354 7572 8472 9531 11358 12708 15144 17037 19062 22716 25416 34074 38124 45432 68148 76248 136296 222743 445486 668229 890972 1336458 1781944 2004687 2672916 4009374 5345832 6014061 8018748 12028122 16037496 24056244 48112488