Search a number
-
+
5648941440 = 27325980719
BaseRepresentation
bin1010100001011010…
…00000000110000000
3112120200110221212100
411100231000012000
543032112111230
62332312230400
7256662132012
oct52055000600
915520427770
105648941440
11243975334a
12111799b400
136c0431acc
143b83481b2
15230de0660
hex150b40180

5648941440 has 96 divisors (see below), whose sum is σ = 19506520800. Its totient is φ = 1506382848.

The previous prime is 5648941411. The next prime is 5648941457. The reversal of 5648941440 is 441498465.

5648941440 is a `hidden beast` number, since 564 + 8 + 9 + 41 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484600 + ... + 496119.

It is an arithmetic number, because the mean of its divisors is an integer number (203192925).

Almost surely, 25648941440 is an apocalyptic number.

It is an amenable number.

5648941440 is an abundant number, since it is smaller than the sum of its proper divisors (13857579360).

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

5648941440 is a wasteful number, since it uses less digits than its factorization.

5648941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980744 (or 980729 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5648941440 is about 75159.4401256422. The cubic root of 5648941440 is about 1780.9662556713.

The spelling of 5648941440 in words is "five billion, six hundred forty-eight million, nine hundred forty-one thousand, four 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 980719 1961438 2942157 3922876 4903595 5884314 7845752 8826471 9807190 11768628 14710785 15691504 17652942 19614380 23537256 29421570 31383008 35305884 39228760 44132355 47074512 58843140 62766016 70611768 78457520 88264710 94149024 117686280 125532032 141223536 156915040 176529420 188298048 235372560 282447072 313830080 353058840 376596096 470745120 564894144 627660160 706117680 941490240 1129788288 1412235360 1882980480 2824470720 5648941440