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506031741 = 321711329269
BaseRepresentation
bin11110001010010…
…110111001111101
31022021012002001100
4132022112321331
52014021003431
6122114003313
715353125125
oct3612267175
91267162040
10506031741
1123a707156
12121576539
1380ab7687
144b2c5c85
152e65a4e6
hex1e296e7d

506031741 has 24 divisors (see below), whose sum is σ = 780806520. Its totient is φ = 314689536.

The previous prime is 506031709. The next prime is 506031749. The reversal of 506031741 is 147130605.

506031741 is a `hidden beast` number, since 5 + 0 + 603 + 17 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38564100 + 467467641 = 6210^2 + 21621^2 .

It is not a de Polignac number, because 506031741 - 25 = 506031709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506031749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (32533605).

Almost surely, 2506031741 is an apocalyptic number.

506031741 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

506031741 is a deficient number, since it is larger than the sum of its proper divisors (274774779).

506031741 is a wasteful number, since it uses less digits than its factorization.

506031741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29405 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 506031741 is about 22495.1492771219. The cubic root of 506031741 is about 796.8793747211.

The spelling of 506031741 in words is "five hundred six million, thirty-one thousand, seven hundred forty-one".

Divisors: 1 3 9 17 51 113 153 339 1017 1921 5763 17289 29269 87807 263421 497573 1492719 3307397 4478157 9922191 29766573 56225749 168677247 506031741