Search a number
-
+
683968464 = 24324749781
BaseRepresentation
bin101000110001001…
…000011111010000
31202200000012100100
4220301020133100
52400043442324
6151511452400
722643431104
oct5061103720
91680005310
10683968464
1132109a6a3
12171087100
13ab91838a
1466ba3904
15400a74c9
hex28c487d0

683968464 has 30 divisors (see below), whose sum is σ = 1914162146. Its totient is φ = 227989440.

The previous prime is 683968427. The next prime is 683968501. The reversal of 683968464 is 464869386.

It is an interprime number because it is at equal distance from previous prime (683968427) and next prime (683968501).

It can be written as a sum of positive squares in only one way, i.e., 372798864 + 311169600 = 19308^2 + 17640^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 683968464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2374747 + ... + 2375034.

Almost surely, 2683968464 is an apocalyptic number.

It is an amenable number.

683968464 is an abundant number, since it is smaller than the sum of its proper divisors (1230193682).

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

683968464 is a wasteful number, since it uses less digits than its factorization.

683968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749795 (or 4749786 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 683968464 is about 26152.7907497460. The cubic root of 683968464 is about 881.0732703698.

The spelling of 683968464 in words is "six hundred eighty-three million, nine hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4749781 9499562 14249343 18999124 28498686 37998248 42748029 56997372 75996496 85496058 113994744 170992116 227989488 341984232 683968464