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290488660900 = 2252538972
BaseRepresentation
bin1000011101000100111…
…10010011001110100100
31000202210122122221100121
410032202132103032210
514224410044122100
6341240524051324
726662402606624
oct4164236231644
91022718587317
10290488660900
11102217304479
1248370093b44
13215154562c9
14100b9c62884
15785267951a
hex43a27933a4

290488660900 has 27 divisors (see below), whose sum is σ = 630372090019. Its totient is φ = 116193308480.

The previous prime is 290488660829. The next prime is 290488660997. The reversal of 290488660900 is 9066884092.

The square root of 290488660900 is 538970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3612731236 + 286875929664 = 60106^2 + 535608^2 .

It is a super-2 number, since 2×2904886609002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5362752 + ... + 5416648.

Almost surely, 2290488660900 is an apocalyptic number.

290488660900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

290488660900 is the 538970-th square number.

It is an amenable number.

290488660900 is an abundant number, since it is smaller than the sum of its proper divisors (339883429119).

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

290488660900 is an frugal number, since it uses more digits than its factorization.

290488660900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107808 (or 53904 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 290488660900 in words is "two hundred ninety billion, four hundred eighty-eight million, six hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 53897 107794 215588 269485 538970 1077940 1347425 2694850 5389700 2904886609 5809773218 11619546436 14524433045 29048866090 58097732180 72622165225 145244330450 290488660900