Search a number
-
+
5434657000 = 235347115631
BaseRepresentation
bin1010000111110111…
…00100100011101000
3112000202021011212121
411003323210203220
542112233011000
62255135321024
7251450552023
oct50373444350
915022234777
105434657000
1123397a4273
121078080174
13687c15a96
14397ac81ba
1521c1b3b1a
hex143ee48e8

5434657000 has 64 divisors (see below), whose sum is σ = 12987786240. Its totient is φ = 2127592000.

The previous prime is 5434656971. The next prime is 5434657021. The reversal of 5434657000 is 7564345.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10816 + ... + 104815.

It is an arithmetic number, because the mean of its divisors is an integer number (202934160).

Almost surely, 25434657000 is an apocalyptic number.

5434657000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5434657000 is an abundant number, since it is smaller than the sum of its proper divisors (7553129240).

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

5434657000 is a wasteful number, since it uses less digits than its factorization.

5434657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115699 (or 115685 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 5434657000 is about 73720.1261529035. The cubic root of 5434657000 is about 1758.1558895431.

The spelling of 5434657000 in words is "five billion, four hundred thirty-four million, six hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 47000 115631 231262 462524 578155 925048 1156310 2312620 2890775 4625240 5434657 5781550 10869314 11563100 14453875 21738628 23126200 27173285 28907750 43477256 54346570 57815500 108693140 115631000 135866425 217386280 271732850 543465700 679332125 1086931400 1358664250 2717328500 5434657000