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723805461 = 32292773201
BaseRepresentation
bin101011001001000…
…110010100010101
31212102222010102200
4223021012110111
52440243233321
6155453355113
723636150001
oct5311062425
91772863380
10723805461
11341629835
12182498a99
13b6c55972
146c1b3701
1543825d26
hex2b246515

723805461 has 12 divisors (see below), whose sum is σ = 1081548780. Its totient is φ = 465897600.

The previous prime is 723805457. The next prime is 723805463. The reversal of 723805461 is 164508327.

It can be written as a sum of positive squares in 2 ways, for example, as 292204836 + 431600625 = 17094^2 + 20775^2 .

It is not a de Polignac number, because 723805461 - 22 = 723805457 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723805463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386340 + ... + 1386861.

It is an arithmetic number, because the mean of its divisors is an integer number (90129065).

Almost surely, 2723805461 is an apocalyptic number.

It is an amenable number.

723805461 is a deficient number, since it is larger than the sum of its proper divisors (357743319).

723805461 is a wasteful number, since it uses less digits than its factorization.

723805461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773236 (or 2773233 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 723805461 is about 26903.6328587795. The cubic root of 723805461 is about 897.8572320623.

It can be divided in two parts, 72380 and 5461, that added together give a square (77841 = 2792).

The spelling of 723805461 in words is "seven hundred twenty-three million, eight hundred five thousand, four hundred sixty-one".

Divisors: 1 3 9 29 87 261 2773201 8319603 24958809 80422829 241268487 723805461