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1463738440 = 23536593461
BaseRepresentation
bin101011100111110…
…1110000001001000
310210000021121122211
41113033232001020
510444204112230
6401124554504
751162400003
oct12717560110
93700247584
101463738440
1169127339a
1234a252a34
131a4337228
14dc58453a
158878542a
hex573ee048

1463738440 has 16 divisors (see below), whose sum is σ = 3293411580. Its totient is φ = 585495360.

The previous prime is 1463738413. The next prime is 1463738453. The reversal of 1463738440 is 448373641.

It can be written as a sum of positive squares in 2 ways, for example, as 1347917796 + 115820644 = 36714^2 + 10762^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 36593461 = 1463738440 / (1 + 4 + 6 + 3 + 7 + 3 + 8 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1463738393 and 1463738402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18296691 + ... + 18296770.

Almost surely, 21463738440 is an apocalyptic number.

1463738440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463738440 is an abundant number, since it is smaller than the sum of its proper divisors (1829673140).

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

1463738440 is a wasteful number, since it uses less digits than its factorization.

1463738440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36593472 (or 36593468 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 1463738440 is about 38258.8347966845. The cubic root of 1463738440 is about 1135.4146479321.

The spelling of 1463738440 in words is "one billion, four hundred sixty-three million, seven hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 36593461 73186922 146373844 182967305 292747688 365934610 731869220 1463738440