Search a number
-
+
48471048 = 2334131571
BaseRepresentation
bin1011100011100…
…1110000001000
310101012120210000
42320321300020
544402033143
64450523000
71125666003
oct270716010
9111176700
1048471048
11253a701a
1214296460
13a0714c2
14661a53a
1543c6bd3
hex2e39c08

48471048 has 80 divisors (see below), whose sum is σ = 137039760. Its totient is φ = 16005600.

The previous prime is 48471043. The next prime is 48471077. The reversal of 48471048 is 84017484.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (48471043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84603 + ... + 85173.

It is an arithmetic number, because the mean of its divisors is an integer number (1712997).

Almost surely, 248471048 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 48471048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68519880).

48471048 is an abundant number, since it is smaller than the sum of its proper divisors (88568712).

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

48471048 is a wasteful number, since it uses less digits than its factorization.

48471048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48471048 is about 6962.1151958295. The cubic root of 48471048 is about 364.6090716617.

The spelling of 48471048 in words is "forty-eight million, four hundred seventy-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 571 648 786 1048 1142 1179 1572 1713 2284 2358 3144 3426 3537 4568 4716 5139 6852 7074 9432 10278 10611 13704 14148 15417 20556 21222 28296 30834 41112 42444 46251 61668 74801 84888 92502 123336 149602 185004 224403 299204 370008 448806 598408 673209 897612 1346418 1795224 2019627 2692836 4039254 5385672 6058881 8078508 12117762 16157016 24235524 48471048