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5408785860 = 22351929316193
BaseRepresentation
bin1010000100110001…
…11000010111000100
3111221221120210100020
411002120320113010
542034122121420
62252413015140
7251014630662
oct50230702704
914857523306
105408785860
112326133965
12106b4844b0
1368275820a
143944b1c32
15219ca3340
hex1426385c4

5408785860 has 96 divisors (see below), whose sum is σ = 15997080960. Its totient is φ = 1361682432.

The previous prime is 5408785847. The next prime is 5408785867. The reversal of 5408785860 is 685878045.

It is not an unprimeable number, because it can be changed into a prime (5408785867) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325924 + ... + 342116.

It is an arithmetic number, because the mean of its divisors is an integer number (166636260).

Almost surely, 25408785860 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 5408785860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998540480).

5408785860 is an abundant number, since it is smaller than the sum of its proper divisors (10588295100).

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

5408785860 is a wasteful number, since it uses less digits than its factorization.

5408785860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16517 (or 16515 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The square root of 5408785860 is about 73544.4481929126. The cubic root of 5408785860 is about 1755.3616092396.

The spelling of 5408785860 in words is "five billion, four hundred eight million, seven hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 293 380 570 586 879 1140 1172 1465 1758 2930 3516 4395 5567 5860 8790 11134 16193 16701 17580 22268 27835 32386 33402 48579 55670 64772 66804 80965 83505 97158 111340 161930 167010 194316 242895 307667 323860 334020 485790 615334 923001 971580 1230668 1538335 1846002 3076670 3692004 4615005 4744549 6153340 9230010 9489098 14233647 18460020 18978196 23722745 28467294 47445490 56934588 71168235 90146431 94890980 142336470 180292862 270439293 284672940 360585724 450732155 540878586 901464310 1081757172 1352196465 1802928620 2704392930 5408785860