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6423872 = 267131103
BaseRepresentation
bin11000100000010101000000
3110002100220012
4120200111000
53121030442
6345404052
7105413330
oct30402500
913070805
106423872
113698394
122199628
13143bc10
14bd30c0
1586d582
hex620540

6423872 has 56 divisors (see below), whose sum is σ = 15703296. Its totient is φ = 2539008.

The previous prime is 6423863. The next prime is 6423883. The reversal of 6423872 is 2783246.

6423872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×64238722 = 82532262944768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 6 + 411 + 213 + 38 + 8 + 76 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5273 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (280416).

Almost surely, 26423872 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 6423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851648).

6423872 is an abundant number, since it is smaller than the sum of its proper divisors (9279424).

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

6423872 is a wasteful number, since it uses less digits than its factorization.

6423872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 6423872 is about 2534.5358549446. The cubic root of 6423872 is about 185.8941086093.

The spelling of 6423872 in words is "six million, four hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1103 1456 2206 2912 4412 5824 7721 8824 14339 15442 17648 28678 30884 35296 57356 61768 70592 100373 114712 123536 200746 229424 247072 401492 458848 494144 802984 917696 1605968 3211936 6423872