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4863872 = 27133779
BaseRepresentation
bin10010100011011110000000
3100011002222102
4102203132000
52221120442
6252125532
756225246
oct22433600
910132872
104863872
112822332
1217668a8
131013b40
14908796
15661232
hex4a3780

4863872 has 64 divisors (see below), whose sum is σ = 10852800. Its totient is φ = 2156544.

The previous prime is 4863847. The next prime is 4863877. The reversal of 4863872 is 2783684.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 47 + 83 + 66 + 314 + 83 + 75 + 25 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61529 + ... + 61607.

It is an arithmetic number, because the mean of its divisors is an integer number (169575).

Almost surely, 24863872 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 4863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426400).

4863872 is an abundant number, since it is smaller than the sum of its proper divisors (5988928).

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

4863872 is a wasteful number, since it uses less digits than its factorization.

4863872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 4863872 is about 2205.4187810935. The cubic root of 4863872 is about 169.4314571033.

The spelling of 4863872 in words is "four million, eight hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 79 104 128 148 158 208 296 316 416 481 592 632 832 962 1027 1184 1264 1664 1924 2054 2368 2528 2923 3848 4108 4736 5056 5846 7696 8216 10112 11692 15392 16432 23384 30784 32864 37999 46768 61568 65728 75998 93536 131456 151996 187072 303992 374144 607984 1215968 2431936 4863872