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283855104 = 2838132
BaseRepresentation
bin10000111010110…
…100100100000000
3201210010100000000
4100322310210000
51040131330404
644100000000
710014504621
oct2072644400
9653110000
10283855104
111362575a5
127b090000
1346a67300
14299ada48
1519dc0339
hex10eb4900

283855104 has 243 divisors, whose sum is σ = 920261433. Its totient is φ = 87340032.

The previous prime is 283855063. The next prime is 283855109. The reversal of 283855104 is 401558382.

Multipling 283855104 by its sum of digits (36), we get a square (10218783744 = 1010882).

283855104 divided by its sum of digits (36) gives a square (7884864 = 28082).

It can be divided in two parts, 28385 and 5104, that added together give a square (33489 = 1832).

It is a happy number.

The square root of 283855104 is 16848.

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., 41990400 + 241864704 = 6480^2 + 15552^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6 and base 9.

It is not an unprimeable number, because it can be changed into a prime (283855109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21835002 + ... + 21835014.

Almost surely, 2283855104 is an apocalyptic number.

283855104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

283855104 is the 16848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283855104

283855104 is an abundant number, since it is smaller than the sum of its proper divisors (636406329).

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

283855104 is an frugal number, since it uses more digits than its factorization.

283855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 283855104 is about 657.2020395704.

The spelling of 283855104 in words is "two hundred eighty-three million, eight hundred fifty-five thousand, one hundred four".