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5242424850 = 23252138910069
BaseRepresentation
bin1001110000111100…
…10000111000010010
3111112100112202221100
410320132100320102
541214030043400
62224111205230
7243624606315
oct47036207022
914470482840
105242424850
112250237423
121023816816
1365714b350
1437a36897c
1520a391100
hex138790e12

5242424850 has 144 divisors (see below), whose sum is σ = 15340033800. Its totient is φ = 1275816960.

The previous prime is 5242424819. The next prime is 5242424857. The reversal of 5242424850 is 584242425.

5242424850 = 1032 + 1042 + ... + 25052.

5242424850 is a `hidden beast` number, since 524 + 2 + 42 + 48 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 294568569 + 4947856281 = 17163^2 + 70341^2 .

It is not an unprimeable number, because it can be changed into a prime (5242424857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 515616 + ... + 525684.

Almost surely, 25242424850 is an apocalyptic number.

5242424850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242424850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670016900).

5242424850 is an abundant number, since it is smaller than the sum of its proper divisors (10097608950).

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

5242424850 is a wasteful number, since it uses less digits than its factorization.

5242424850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 5242424850 is about 72404.5913599407. The cubic root of 5242424850 is about 1737.1770018778.

The spelling of 5242424850 in words is "five billion, two hundred forty-two million, four hundred twenty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 89 90 117 130 150 178 195 225 234 267 325 390 445 450 534 585 650 801 890 975 1157 1170 1335 1602 1950 2225 2314 2670 2925 3471 4005 4450 5785 5850 6675 6942 8010 10069 10413 11570 13350 17355 20025 20138 20826 28925 30207 34710 40050 50345 52065 57850 60414 86775 90621 100690 104130 130897 151035 173550 181242 251725 260325 261794 302070 392691 453105 503450 520650 654485 755175 785382 896141 906210 1178073 1308970 1510350 1792282 1963455 2265525 2356146 2688423 3272425 3926910 4480705 4531050 5376846 5890365 6544850 8065269 8961410 9817275 11649833 11780730 13442115 16130538 19634550 22403525 23299666 26884230 29451825 34949499 40326345 44807050 58249165 58903650 67210575 69898998 80652690 104848497 116498330 134421150 174747495 201631725 209696994 291245825 349494990 403263450 524242485 582491650 873737475 1048484970 1747474950 2621212425 5242424850