Search a number
-
+
475006824 = 233243115307
BaseRepresentation
bin11100010100000…
…000011101101000
31020002210211212100
4130110000131220
51433100204244
6115045013400
714525330355
oct3424003550
91202724770
10475006824
11224146726
121130b4260
1377544036
144712b62c
152ba7cb69
hex1c500768

475006824 has 48 divisors (see below), whose sum is σ = 1289545920. Its totient is φ = 157957920.

The previous prime is 475006813. The next prime is 475006867. The reversal of 475006824 is 428600574.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23379 + ... + 38685.

It is an arithmetic number, because the mean of its divisors is an integer number (26865540).

Almost surely, 2475006824 is an apocalyptic number.

It is an amenable number.

475006824 is an abundant number, since it is smaller than the sum of its proper divisors (814539096).

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

475006824 is a wasteful number, since it uses less digits than its factorization.

475006824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15750 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 475006824 is about 21794.6512704379. The cubic root of 475006824 is about 780.2491117532.

The spelling of 475006824 in words is "four hundred seventy-five million, six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 431 862 1293 1724 2586 3448 3879 5172 7758 10344 15307 15516 30614 31032 45921 61228 91842 122456 137763 183684 275526 367368 551052 1102104 6597317 13194634 19791951 26389268 39583902 52778536 59375853 79167804 118751706 158335608 237503412 475006824