Search a number
-
+
506051430 = 235163239433
BaseRepresentation
bin11110001010011…
…011101101100110
31022021020002001120
4132022123231212
52014022121210
6122114234410
715353236413
oct3612335546
91267202046
10506051430
1123a71aa25
12121585a06
1380ac3621
144b2cd10a
152e661270
hex1e29bb66

506051430 has 64 divisors (see below), whose sum is σ = 1229921280. Its totient is φ = 133249536.

The previous prime is 506051423. The next prime is 506051431. The reversal of 506051430 is 34150605.

It is a self number, because there is not a number n which added to its sum of digits gives 506051430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506051431) 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 31 ways as a sum of consecutive naturals, for example, 1168494 + ... + 1168926.

It is an arithmetic number, because the mean of its divisors is an integer number (19217520).

Almost surely, 2506051430 is an apocalyptic number.

506051430 is an abundant number, since it is smaller than the sum of its proper divisors (723869850).

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

506051430 is a wasteful number, since it uses less digits than its factorization.

506051430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 506051430 is about 22495.5869005456. The cubic root of 506051430 is about 796.8897097477.

The spelling of 506051430 in words is "five hundred six million, fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 163 239 326 433 478 489 717 815 866 978 1195 1299 1434 1630 2165 2390 2445 2598 3585 4330 4890 6495 7170 12990 38957 70579 77914 103487 116871 141158 194785 206974 211737 233742 310461 352895 389570 423474 517435 584355 620922 705790 1034870 1058685 1168710 1552305 2117370 3104610 16868381 33736762 50605143 84341905 101210286 168683810 253025715 506051430