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4631112 = 2332131491
BaseRepresentation
bin10001101010101001001000
322201021200200
4101222221020
52141143422
6243132200
754235533
oct21525110
98637620
104631112
112683472
121674060
13c61c05
14887a1a
156172ac
hex46aa48

4631112 has 48 divisors (see below), whose sum is σ = 12664080. Its totient is φ = 1528800.

The previous prime is 4631111. The next prime is 4631131. The reversal of 4631112 is 2111364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (4631111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9187 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (263835).

Almost surely, 24631112 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 4631112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332040).

4631112 is an abundant number, since it is smaller than the sum of its proper divisors (8032968).

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

4631112 is a wasteful number, since it uses less digits than its factorization.

4631112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4631112 is about 2152.0018587353. The cubic root of 4631112 is about 166.6844532129.

Adding to 4631112 its reverse (2111364), we get a palindrome (6742476).

The spelling of 4631112 in words is "four million, six hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 491 524 786 982 1048 1179 1473 1572 1964 2358 2946 3144 3928 4419 4716 5892 8838 9432 11784 17676 35352 64321 128642 192963 257284 385926 514568 578889 771852 1157778 1543704 2315556 4631112