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506704149 = 32721148989
BaseRepresentation
bin11110001100111…
…011000100010101
31022022110020102100
4132030323010111
52014204013044
6122140232313
715361625400
oct3614730425
91268406370
10506704149
11240026366
1212183b699
1380c91753
144b41cd37
152e73e869
hex1e33b115

506704149 has 18 divisors (see below), whose sum is σ = 851401590. Its totient is φ = 289544976.

The previous prime is 506704123. The next prime is 506704157. The reversal of 506704149 is 941407605.

506704149 is a `hidden beast` number, since 506 + 7 + 0 + 4 + 149 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381420900 + 125283249 = 19530^2 + 11193^2 .

It is not a de Polignac number, because 506704149 - 28 = 506703893 is a prime.

It is a super-2 number, since 2×5067041492 = 513498189227628402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506704109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 574054 + ... + 574935.

Almost surely, 2506704149 is an apocalyptic number.

It is an amenable number.

506704149 is a deficient number, since it is larger than the sum of its proper divisors (344697441).

506704149 is a wasteful number, since it uses less digits than its factorization.

506704149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149009 (or 1148999 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 506704149 is about 22510.0899376257. The cubic root of 506704149 is about 797.2321792750.

The spelling of 506704149 in words is "five hundred six million, seven hundred four thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 1148989 3446967 8042923 10340901 24128769 56300461 72386307 168901383 506704149