Search a number
-
+
526042284 = 2231961109347
BaseRepresentation
bin11111010110101…
…100010010101100
31100122211201100120
4133112230102230
52034131323114
6124110524540
716015166655
oct3726542254
91318751316
10526042284
1124aa34399
12128206750
1384ca2831
144dc1452c
15312ae5a9
hex1f5ac4ac

526042284 has 96 divisors (see below), whose sum is σ = 1329081600. Its totient is φ = 161429760.

The previous prime is 526042267. The next prime is 526042301. The reversal of 526042284 is 482240625.

It is an interprime number because it is at equal distance from previous prime (526042267) and next prime (526042301).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1515799 + ... + 1516145.

It is an arithmetic number, because the mean of its divisors is an integer number (13844600).

Almost surely, 2526042284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526042284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664540800).

526042284 is an abundant number, since it is smaller than the sum of its proper divisors (803039316).

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

526042284 is a wasteful number, since it uses less digits than its factorization.

526042284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 526042284 is about 22935.6116988407. The cubic root of 526042284 is about 807.2478275287.

The spelling of 526042284 in words is "five hundred twenty-six million, forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 109 114 122 183 218 228 244 327 347 366 436 654 694 732 1041 1159 1308 1388 2071 2082 2318 3477 4142 4164 4636 6213 6593 6649 6954 8284 12426 13186 13298 13908 19779 19947 21167 24852 26372 26596 37823 39558 39894 42334 63501 75646 79116 79788 84668 113469 126331 127002 151292 226938 252662 254004 378993 402173 453876 505324 718637 757986 804346 1206519 1437274 1515972 1608692 2155911 2307203 2413038 2874548 4311822 4614406 4826076 6921609 8623644 9228812 13843218 27686436 43836857 87673714 131510571 175347428 263021142 526042284