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4768272 = 243233113
BaseRepresentation
bin10010001100001000010000
322222020211200
4102030020100
52210041042
6250111200
755346445
oct22141020
98866750
104768272
112767523
12171b500
13cac482
148c19cc
15642c4c
hex48c210

4768272 has 30 divisors (see below), whose sum is σ = 13344942. Its totient is φ = 1589376.

The previous prime is 4768271. The next prime is 4768273. The reversal of 4768272 is 2728674.

It is an interprime number because it is at equal distance from previous prime (4768271) and next prime (4768273).

It can be written as a sum of positive squares in only one way, i.e., 3549456 + 1218816 = 1884^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16413 + ... + 16700.

Almost surely, 24768272 is an apocalyptic number.

It is an amenable number.

4768272 is an abundant number, since it is smaller than the sum of its proper divisors (8576670).

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

4768272 is a wasteful number, since it uses less digits than its factorization.

4768272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33127 (or 33118 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4768272 is about 2183.6373325257. The cubic root of 4768272 is about 168.3140384598.

The spelling of 4768272 in words is "four million, seven hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 33113 66226 99339 132452 198678 264904 298017 397356 529808 596034 794712 1192068 1589424 2384136 4768272