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4768512 = 2837887
BaseRepresentation
bin10010001100001100000000
322222021011120
4102030030000
52210043022
6250112240
755350240
oct22141400
98867146
104768512
112767721
12171b680
13cac608
148c1b20
15642d5c
hex48c300

4768512 has 72 divisors (see below), whose sum is σ = 14520576. Its totient is φ = 1360896.

The previous prime is 4768507. The next prime is 4768529. The reversal of 4768512 is 2158674.

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, 4933 + ... + 5819.

Almost surely, 24768512 is an apocalyptic number.

4768512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260288).

4768512 is an abundant number, since it is smaller than the sum of its proper divisors (9752064).

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

4768512 is an equidigital number, since it uses as much as digits as its factorization.

4768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 4768512 is about 2183.6922860147. The cubic root of 4768512 is about 168.3168623124.

The spelling of 4768512 in words is "four million, seven hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 887 896 1344 1774 1792 2661 2688 3548 5322 5376 6209 7096 10644 12418 14192 18627 21288 24836 28384 37254 42576 49672 56768 74508 85152 99344 113536 149016 170304 198688 227072 298032 340608 397376 596064 681216 794752 1192128 1589504 2384256 4768512