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4928768 = 28131481
BaseRepresentation
bin10010110011010100000000
3100021101222222
4102303110000
52230210033
6253350212
756615405
oct22632400
910241888
104928768
112867069
121798368
131037540
149242ac
15675598
hex4b3500

4928768 has 36 divisors (see below), whose sum is σ = 10602228. Its totient is φ = 2273280.

The previous prime is 4928761. The next prime is 4928773. The reversal of 4928768 is 8678294.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 3564544 = 1168^2 + 1888^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4928761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2588 + ... + 4068.

Almost surely, 24928768 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 4928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301114).

4928768 is an abundant number, since it is smaller than the sum of its proper divisors (5673460).

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

4928768 is a wasteful number, since it uses less digits than its factorization.

4928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 4928768 is about 2220.0828813357. The cubic root of 4928768 is about 170.1816742927.

The spelling of 4928768 in words is "four million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1481 1664 2962 3328 5924 11848 19253 23696 38506 47392 77012 94784 154024 189568 308048 379136 616096 1232192 2464384 4928768