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506293970 = 25721379481
BaseRepresentation
bin11110001011010…
…110111011010010
31022021200101202112
4132023112323102
52014102401340
6122123345322
715355266500
oct3613267322
91267611675
10506293970
1123a876176
12121682242
1380b79b40
144b353670
152e6ad065
hex1e2d6ed2

506293970 has 48 divisors (see below), whose sum is σ = 1141679448. Its totient is φ = 160231680.

The previous prime is 506293943. The next prime is 506293973. The reversal of 506293970 is 79392605.

It can be written as a sum of positive squares in 4 ways, for example, as 314388361 + 191905609 = 17731^2 + 13853^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506293973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33371 + ... + 46110.

Almost surely, 2506293970 is an apocalyptic number.

506293970 is an abundant number, since it is smaller than the sum of its proper divisors (635385478).

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

506293970 is a wasteful number, since it uses less digits than its factorization.

506293970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79515 (or 79508 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 506293970 is about 22500.9770898955. The cubic root of 506293970 is about 797.0170003411.

The spelling of 506293970 in words is "five hundred six million, two hundred ninety-three thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 79481 158962 397405 556367 794810 1033253 1112734 2066506 2781835 3894569 5166265 5563670 7232771 7789138 10332530 14465542 19472845 36163855 38945690 50629397 72327710 101258794 253146985 506293970