Search a number
-
+
47663112 = 2337532101
BaseRepresentation
bin1011010111010…
…0100000001000
310022200112111110
42311310200020
544200204422
64421330320
71116062340
oct265644010
9108615443
1047663112
11249a5002
1213b669a0
139b4a833
146489d20
1542b760c
hex2d74808

47663112 has 96 divisors (see below), whose sum is σ = 140172480. Its totient is φ = 13228800.

The previous prime is 47663111. The next prime is 47663117. The reversal of 47663112 is 21136674.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47663112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47663111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471862 + ... + 471962.

It is an arithmetic number, because the mean of its divisors is an integer number (1460130).

Almost surely, 247663112 is an apocalyptic number.

47663112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47663112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70086240).

47663112 is an abundant number, since it is smaller than the sum of its proper divisors (92509368).

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

47663112 is a wasteful number, since it uses less digits than its factorization.

47663112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 166 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 47663112 is about 6903.8476228839. The cubic root of 47663112 is about 362.5718909339.

Adding to 47663112 its reverse (21136674), we get a palindrome (68799786).

The spelling of 47663112 in words is "forty-seven million, six hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 101 106 159 168 202 212 303 318 371 404 424 606 636 707 742 808 1113 1212 1272 1414 1484 2121 2226 2424 2809 2828 2968 4242 4452 5353 5618 5656 8427 8484 8904 10706 11236 16059 16854 16968 19663 21412 22472 32118 33708 37471 39326 42824 58989 64236 67416 74942 78652 112413 117978 128472 149884 157304 224826 235956 283709 299768 449652 471912 567418 851127 899304 1134836 1702254 1985963 2269672 3404508 3971926 5957889 6809016 7943852 11915778 15887704 23831556 47663112