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506706774 = 237109151733
BaseRepresentation
bin11110001100111…
…011101101010110
31022022110101000120
4132030323231112
52014204104044
6122140252410
715361636140
oct3614735526
91268411016
10506706774
11240028332
12121841106
1380c929c2
144b41dc90
152e740519
hex1e33bb56

506706774 has 64 divisors (see below), whose sum is σ = 1178158080. Its totient is φ = 142300800.

The previous prime is 506706773. The next prime is 506706779. The reversal of 506706774 is 477607605.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506706773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690912 + ... + 691644.

It is an arithmetic number, because the mean of its divisors is an integer number (18408720).

Almost surely, 2506706774 is an apocalyptic number.

506706774 is an abundant number, since it is smaller than the sum of its proper divisors (671451306).

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

506706774 is a wasteful number, since it uses less digits than its factorization.

506706774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 506706774 is about 22510.1482447362. The cubic root of 506706774 is about 797.2335559698.

The spelling of 506706774 in words is "five hundred six million, seven hundred six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 109 151 218 302 327 453 654 733 763 906 1057 1466 1526 2114 2199 2289 3171 4398 4578 5131 6342 10262 15393 16459 30786 32918 49377 79897 98754 110683 115213 159794 221366 230426 239691 332049 345639 479382 559279 664098 691278 774781 1118558 1549562 1677837 2324343 3355674 4648686 12064447 24128894 36193341 72386682 84451129 168902258 253353387 506706774