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5245561440 = 253257520393
BaseRepresentation
bin1001110001010100…
…01110101001100000
3111112120110010112100
410320222032221200
541220330431230
62224302330400
7243663352020
oct47052165140
914476403470
105245561440
112251a89a49
121024889a00
136579a8c12
1437a943a80
1520a7b0660
hex138a8ea60

5245561440 has 144 divisors (see below), whose sum is σ = 20457728928. Its totient is φ = 1198983168.

The previous prime is 5245561411. The next prime is 5245561457. The reversal of 5245561440 is 441655425.

5245561440 is a `hidden beast` number, since 52 + 4 + 5 + 561 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5245561395 and 5245561404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250117 + ... + 270276.

It is an arithmetic number, because the mean of its divisors is an integer number (142067562).

Almost surely, 25245561440 is an apocalyptic number.

It is an amenable number.

5245561440 is an abundant number, since it is smaller than the sum of its proper divisors (15212167488).

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

5245561440 is a wasteful number, since it uses less digits than its factorization.

5245561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520421 (or 520410 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5245561440 is about 72426.2482805785. The cubic root of 5245561440 is about 1737.5233890197.

The spelling of 5245561440 in words is "five billion, two hundred forty-five million, five hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 520393 1040786 1561179 2081572 2601965 3122358 3642751 4163144 4683537 5203930 6244716 7285502 7805895 8326288 9367074 10407860 10928253 12489432 14571004 15611790 16652576 18213755 18734148 20815720 21856506 23417685 24978864 29142008 31223580 32784759 36427510 37468296 41631440 43713012 46835370 49957728 54641265 58284016 62447160 65569518 72855020 74936592 83262880 87426024 93670740 109282530 116568032 124894320 131139036 145710040 149873184 163923795 174852048 187341480 218565060 249788640 262278072 291420080 327847590 349704096 374682960 437130120 524556144 582840160 655695180 749365920 874260240 1049112288 1311390360 1748520480 2622780720 5245561440