Search a number
-
+
4769640 = 2332513249
BaseRepresentation
bin10010001100011101101000
322222022201100
4102030131220
52210112030
6250121400
755353441
oct22143550
98868640
104769640
112768557
121720260
13cacc95
148c22c8
15643360
hex48c768

4769640 has 48 divisors (see below), whose sum is σ = 15502500. Its totient is φ = 1271808.

The previous prime is 4769623. The next prime is 4769647. The reversal of 4769640 is 469674.

4769640 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 640 = 666.

4769640 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 181476 = 2142^2 + 426^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4769595 and 4769604.

It is not an unprimeable number, because it can be changed into a prime (4769647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6265 + ... + 6984.

Almost surely, 24769640 is an apocalyptic number.

4769640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4769640 is an abundant number, since it is smaller than the sum of its proper divisors (10732860).

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

4769640 is a wasteful number, since it uses less digits than its factorization.

4769640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4769640 is about 2183.9505488907. The cubic root of 4769640 is about 168.3301331505.

The spelling of 4769640 in words is "four million, seven hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 13249 26498 39747 52996 66245 79494 105992 119241 132490 158988 198735 238482 264980 317976 397470 476964 529960 596205 794940 953928 1192410 1589880 2384820 4769640