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5412544900 = 22527210512
BaseRepresentation
bin1010000101001110…
…01110000110000100
3111222012122202202221
411002213032012010
542041102414100
62253025342124
7251061605200
oct50247160604
914865582687
105412544900
112328271104
121070797944
136834731b9
14394badb00
1521a29701a
hex1429ce184

5412544900 has 81 divisors (see below), whose sum is σ = 13675821957. Its totient is φ = 1853964000.

The previous prime is 5412544873. The next prime is 5412544909. The reversal of 5412544900 is 94452145.

The square root of 5412544900 is 73570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1948516164 + 3464028736 = 44142^2 + 58856^2 .

It is not an unprimeable number, because it can be changed into a prime (5412544909) 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 26 ways as a sum of consecutive naturals, for example, 5149375 + ... + 5150425.

Almost surely, 25412544900 is an apocalyptic number.

5412544900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5412544900 is the 73570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5412544900

5412544900 is an abundant number, since it is smaller than the sum of its proper divisors (8263277057).

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

5412544900 is a wasteful number, since it uses less digits than its factorization.

5412544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 5412544900 is about 1755.7681666843.

The spelling of 5412544900 in words is "five billion, four hundred twelve million, five hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1051 1225 2102 2450 4204 4900 5255 7357 10510 14714 21020 26275 29428 36785 51499 52550 73570 102998 105100 147140 183925 205996 257495 367850 514990 735700 1029980 1104601 1287475 2209202 2574950 4418404 5149900 5523005 7732207 11046010 15464414 22092020 27615025 30928828 38661035 54125449 55230050 77322070 108250898 110460100 154644140 193305175 216501796 270627245 386610350 541254490 773220700 1082508980 1353136225 2706272450 5412544900