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5409029600 = 2552132322613
BaseRepresentation
bin1010000100110011…
…10011110111100000
3111221222001011200122
411002121303313200
542034202421400
62252422135412
7251016664412
oct50231636740
914858034618
105409029600
11232628aaa7
12106b581568
13682812140
143945369b2
15219d00685
hex142673de0

5409029600 has 144 divisors (see below), whose sum is σ = 14839487712. Its totient is φ = 1910261760.

The previous prime is 5409029581. The next prime is 5409029683. The reversal of 5409029600 is 69209045.

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, 227894 + ... + 250506.

It is an arithmetic number, because the mean of its divisors is an integer number (103051998).

Almost surely, 25409029600 is an apocalyptic number.

5409029600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419743856).

5409029600 is an abundant number, since it is smaller than the sum of its proper divisors (9430458112).

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

5409029600 is a wasteful number, since it uses less digits than its factorization.

5409029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669 (or 22656 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 5409029600 is about 73546.1052673763. The cubic root of 5409029600 is about 1755.3879765503.

The spelling of 5409029600 in words is "five billion, four hundred nine million, twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 65 80 92 100 104 115 130 160 184 200 208 230 260 299 325 368 400 416 460 520 575 598 650 736 800 920 1040 1150 1196 1300 1495 1840 2080 2300 2392 2600 2990 3680 4600 4784 5200 5980 7475 9200 9568 10400 11960 14950 18400 22613 23920 29900 45226 47840 59800 90452 113065 119600 180904 226130 239200 293969 361808 452260 520099 565325 587938 723616 904520 1040198 1130650 1175876 1469845 1809040 2080396 2261300 2351752 2600495 2939690 3618080 4160792 4522600 4703504 5200990 5879380 6761287 7349225 8321584 9045200 9407008 10401980 11758760 13002475 13522574 14698450 16643168 18090400 20803960 23517520 26004950 27045148 29396900 33806435 41607920 47035040 52009900 54090296 58793800 67612870 83215840 104019800 108180592 117587600 135225740 169032175 208039600 216361184 235175200 270451480 338064350 416079200 540902960 676128700 1081805920 1352257400 2704514800 5409029600