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5042021526 = 2331922322037
BaseRepresentation
bin1001011001000011…
…10010010010010110
3111000101110020021000
410230201302102112
540311224142101
62152152004130
7235642322133
oct45441622226
914011406230
105042021526
1121580a9443
12b88690646
136247825b9
1435b8bd58a
151e79a7486
hex12c872496

5042021526 has 64 divisors (see below), whose sum is σ = 11847628800. Its totient is φ = 1585005408.

The previous prime is 5042021489. The next prime is 5042021531. The reversal of 5042021526 is 6251202405.

5042021526 is a `hidden beast` number, since 5 + 0 + 420 + 215 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5042021526.

It is a congruent number.

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, 217780 + ... + 239816.

It is an arithmetic number, because the mean of its divisors is an integer number (185119200).

Almost surely, 25042021526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042021526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923814400).

5042021526 is an abundant number, since it is smaller than the sum of its proper divisors (6805607274).

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

5042021526 is a wasteful number, since it uses less digits than its factorization.

5042021526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22290 (or 22284 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5042021526 is about 71007.1934806608. The cubic root of 5042021526 is about 1714.7529756096.

The spelling of 5042021526 in words is "five billion, forty-two million, twenty-one thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 223 342 446 513 669 1026 1338 2007 4014 4237 6021 8474 12042 12711 22037 25422 38133 44074 66111 76266 114399 132222 198333 228798 396666 418703 594999 837406 1189998 1256109 2512218 3768327 4914251 7536654 9828502 11304981 14742753 22609962 29485506 44228259 88456518 93370769 132684777 186741538 265369554 280112307 560224614 840336921 1680673842 2521010763 5042021526