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485695400 = 235218113417
BaseRepresentation
bin11100111100110…
…001111110101000
31020211220212211112
4130330301332220
51443314223100
6120110045452
715015225401
oct3474617650
91224825745
10485695400
1122a187163
121167a9888
1379817138
14487109a8
152c98eb35
hex1cf31fa8

485695400 has 48 divisors (see below), whose sum is σ = 1135565340. Its totient is φ = 193190400.

The previous prime is 485695391. The next prime is 485695409. The reversal of 485695400 is 4596584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (485695391) and next prime (485695409).

It can be written as a sum of positive squares in 6 ways, for example, as 27478564 + 458216836 = 5242^2 + 21406^2 .

It is not an unprimeable number, because it can be changed into a prime (485695409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29492 + ... + 42908.

Almost surely, 2485695400 is an apocalyptic number.

485695400 is a gapful number since it is divisible by the number (40) 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 485695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567782670).

485695400 is an abundant number, since it is smaller than the sum of its proper divisors (649869940).

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

485695400 is a wasteful number, since it uses less digits than its factorization.

485695400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 485695400 is about 22038.4981339473. The cubic root of 485695400 is about 786.0581292380.

The spelling of 485695400 in words is "four hundred eighty-five million, six hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 4525 7240 9050 13417 18100 26834 36200 53668 67085 107336 134170 268340 335425 536680 670850 1341700 2428477 2683400 4856954 9713908 12142385 19427816 24284770 48569540 60711925 97139080 121423850 242847700 485695400