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505421412 = 223232103773
BaseRepresentation
bin11110001000000…
…001111001100100
31022020001001211120
4132020001321210
52013341441122
6122052533540
715345003546
oct3610017144
91266031746
10505421412
1123a32a651
121213212b0
1380932932
144b1a7696
152e58975c
hex1e201e64

505421412 has 72 divisors (see below), whose sum is σ = 1246400064. Its totient is φ = 159377856.

The previous prime is 505421393. The next prime is 505421429. The reversal of 505421412 is 214124505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653458 + ... + 654230.

It is an arithmetic number, because the mean of its divisors is an integer number (17311112).

Almost surely, 2505421412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505421412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623200032).

505421412 is an abundant number, since it is smaller than the sum of its proper divisors (740978652).

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

505421412 is a wasteful number, since it uses less digits than its factorization.

505421412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 505421412 is about 22481.5793929163. The cubic root of 505421412 is about 796.5588716002.

Adding to 505421412 its reverse (214124505), we get a palindrome (719545917).

The spelling of 505421412 in words is "five hundred five million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 529 618 773 1058 1236 1546 1587 2116 2319 2369 3092 3174 4638 4738 6348 7107 9276 9476 14214 17779 28428 35558 53337 54487 71116 79619 106674 108974 159238 163461 213348 217948 238857 318476 326922 408917 477714 653844 817834 955428 1226751 1635668 1831237 2453502 3662474 4907004 5493711 7324948 10987422 21974844 42118451 84236902 126355353 168473804 252710706 505421412