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4204768 = 252329197
BaseRepresentation
bin10000000010100011100000
321220121212011
4100002203200
52034023033
6230042304
750511541
oct20024340
97817764
104204768
112412117
1214a9394
13b42b39
147b64c8
15580ccd
hex4028e0

4204768 has 48 divisors (see below), whose sum is σ = 8981280. Its totient is φ = 1931776.

The previous prime is 4204751. The next prime is 4204799. The reversal of 4204768 is 8674024.

It is an Ulam number.

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, 21246 + ... + 21442.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 24204768 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 4204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490640).

4204768 is an abundant number, since it is smaller than the sum of its proper divisors (4776512).

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

4204768 is a wasteful number, since it uses less digits than its factorization.

4204768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4204768 is about 2050.5530961182. The cubic root of 4204768 is about 161.4038957021.

The spelling of 4204768 in words is "four million, two hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 197 232 368 394 464 667 736 788 928 1334 1576 2668 3152 4531 5336 5713 6304 9062 10672 11426 18124 21344 22852 36248 45704 72496 91408 131399 144992 182816 262798 525596 1051192 2102384 4204768