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5240456640 = 263251819603
BaseRepresentation
bin1001110000101101…
…10000010111000000
3111112012211210001200
410320112300113000
541213024103030
62224001101200
7243602101146
oct47026602700
914465753050
105240456640
11224a112701
121023027800
1365690c523
14379db5596
1520a102d60
hex1385b05c0

5240456640 has 84 divisors (see below), whose sum is σ = 18024997224. Its totient is φ = 1397454336.

The previous prime is 5240456581. The next prime is 5240456677. The reversal of 5240456640 is 466540425.

5240456640 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 4 + 5 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5240456595 and 5240456604.

It is a congruent number.

It is an unprimeable number.

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, 906922 + ... + 912681.

Almost surely, 25240456640 is an apocalyptic number.

It is an amenable number.

5240456640 is an abundant number, since it is smaller than the sum of its proper divisors (12784540584).

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

5240456640 is a wasteful number, since it uses less digits than its factorization.

5240456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819626 (or 1819613 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5240456640 is about 72390.9983354284. The cubic root of 5240456640 is about 1736.9595734151.

The spelling of 5240456640 in words is "five billion, two hundred forty million, four hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1819603 3639206 5458809 7278412 9098015 10917618 14556824 16376427 18196030 21835236 27294045 29113648 32752854 36392060 43670472 54588090 58227296 65505708 72784120 81882135 87340944 109176180 116454592 131011416 145568240 163764270 174681888 218352360 262022832 291136480 327528540 349363776 436704720 524045664 582272960 655057080 873409440 1048091328 1310114160 1746818880 2620228320 5240456640