Search a number
-
+
4640496 = 243721973
BaseRepresentation
bin10001101100111011110000
322201202120020
4101230323300
52141443441
6243243440
754305100
oct21547360
98652506
104640496
11268a523
121679580
13c66273
1488b200
15619e66
hex46cef0

4640496 has 60 divisors (see below), whose sum is σ = 13952232. Its totient is φ = 1325184.

The previous prime is 4640491. The next prime is 4640497. The reversal of 4640496 is 6940464.

4640496 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4640496 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640491) 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, 1366 + ... + 3338.

Almost surely, 24640496 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 4640496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976116).

4640496 is an abundant number, since it is smaller than the sum of its proper divisors (9311736).

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

4640496 is a wasteful number, since it uses less digits than its factorization.

4640496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4640496 is about 2154.1810508869. The cubic root of 4640496 is about 166.7969612245.

Subtracting 4640496 from its reverse (6940464), we obtain a cube (2299968 = 1323).

The spelling of 4640496 in words is "four million, six hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1973 2352 3946 5919 7892 11838 13811 15784 23676 27622 31568 41433 47352 55244 82866 94704 96677 110488 165732 193354 220976 290031 331464 386708 580062 662928 773416 1160124 1546832 2320248 4640496