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4875312 = 243132601
BaseRepresentation
bin10010100110010000110000
3100011200200010
4102212100300
52222002222
6252254520
756303511
oct22462060
910150603
104875312
11282a992
121771440
131019100
1490ca08
1566480c
hex4a6430

4875312 has 60 divisors (see below), whose sum is σ = 13660584. Its totient is φ = 1497600.

The previous prime is 4875293. The next prime is 4875319. The reversal of 4875312 is 2135784.

4875312 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 4875312.

It is not an unprimeable number, because it can be changed into a prime (4875319) 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, 7812 + ... + 8412.

Almost surely, 24875312 is an apocalyptic number.

4875312 is the 1803-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4875312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830292).

4875312 is an abundant number, since it is smaller than the sum of its proper divisors (8785272).

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

4875312 is a wasteful number, since it uses less digits than its factorization.

4875312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 4875312 is about 2208.0108695385. The cubic root of 4875312 is about 169.5641893657.

The spelling of 4875312 in words is "four million, eight hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 601 624 676 1014 1202 1352 1803 2028 2404 2704 3606 4056 4808 7212 7813 8112 9616 14424 15626 23439 28848 31252 46878 62504 93756 101569 125008 187512 203138 304707 375024 406276 609414 812552 1218828 1625104 2437656 4875312