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4940832 = 2531337107
BaseRepresentation
bin10010110110010000100000
3100022000112210
4102312100200
52231101312
6253522120
756665521
oct22662040
910260483
104940832
112875136
1217a3340
13103cb90
14928848
15678e3c
hex4b6420

4940832 has 96 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 1465344.

The previous prime is 4940827. The next prime is 4940843. The reversal of 4940832 is 2380494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4940832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46123 + ... + 46229.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 24940832 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 4940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

4940832 is an abundant number, since it is smaller than the sum of its proper divisors (9538080).

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

4940832 is a wasteful number, since it uses less digits than its factorization.

4940832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4940832 is about 2222.7982364578. The cubic root of 4940832 is about 170.3204107147.

The spelling of 4940832 in words is "four million, nine hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 107 111 148 156 208 214 222 296 312 321 416 428 444 481 592 624 642 856 888 962 1184 1248 1284 1391 1443 1712 1776 1924 2568 2782 2886 3424 3552 3848 3959 4173 5136 5564 5772 7696 7918 8346 10272 11128 11544 11877 15392 15836 16692 22256 23088 23754 31672 33384 44512 46176 47508 51467 63344 66768 95016 102934 126688 133536 154401 190032 205868 308802 380064 411736 617604 823472 1235208 1646944 2470416 4940832