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40720784 = 24131371429
BaseRepresentation
bin1001101101010…
…1100110010000
32211121211102012
42123111212100
540411031114
64012442052
71003056326
oct233254620
984554365
1040720784
1120a93145
1211779328
138589950
14559dd16
15389563e
hex26d5990

40720784 has 40 divisors (see below), whose sum is σ = 85645560. Its totient is φ = 18643968.

The previous prime is 40720759. The next prime is 40720817. The reversal of 40720784 is 48702704.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 40704400 = 128^2 + 6380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40720784.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27782 + ... + 29210.

It is an arithmetic number, because the mean of its divisors is an integer number (2141139).

Almost surely, 240720784 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 40720784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42822780).

40720784 is an abundant number, since it is smaller than the sum of its proper divisors (44924776).

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

40720784 is a wasteful number, since it uses less digits than its factorization.

40720784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 40720784 is about 6381.2838833576. The cubic root of 40720784 is about 344.0371782425.

The spelling of 40720784 in words is "forty million, seven hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1429 1781 2192 2858 3562 5716 7124 11432 14248 18577 22864 28496 37154 74308 148616 195773 297232 391546 783092 1566184 2545049 3132368 5090098 10180196 20360392 40720784