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842514036 = 2237213195801
BaseRepresentation
bin110010001101111…
…011111001110100
32011201100010222120
4302031323321310
53211140422121
6215333555540
726610152100
oct6215737164
92151303876
10842514036
113a26392a1
121b61a5bb0
13105719b20
147dc74900
154de73bc6
hex3237be74

842514036 has 144 divisors (see below), whose sum is σ = 2592797760. Its totient is φ = 210470400.

The previous prime is 842514031. The next prime is 842514053. The reversal of 842514036 is 630415248.

It is a junction number, because it is equal to n+sod(n) for n = 842513988 and 842514006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842514031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142336 + ... + 148136.

It is an arithmetic number, because the mean of its divisors is an integer number (18005540).

Almost surely, 2842514036 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 842514036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296398880).

842514036 is an abundant number, since it is smaller than the sum of its proper divisors (1750283724).

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

842514036 is a wasteful number, since it uses less digits than its factorization.

842514036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 842514036 is about 29026.0923308667. The cubic root of 842514036 is about 944.4791642979.

It can be divided in two parts, 84 and 2514036, that multiplied together give a square (211179024 = 145322).

The spelling of 842514036 in words is "eight hundred forty-two million, five hundred fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2548 2793 2964 3458 3724 3822 5187 5586 5801 6916 7644 10374 11172 11602 12103 17403 20748 23204 24206 34806 36309 40607 48412 69612 72618 75413 81214 110219 121821 145236 150826 162428 220438 226239 243642 284249 301652 330657 440876 452478 487284 527891 568498 661314 771533 852747 904956 1055782 1136996 1322628 1432847 1543066 1583673 1705494 2111564 2314599 2865694 3086132 3167346 3410988 3695237 4298541 4629198 5400731 5731388 6334692 7390474 8597082 9258396 10029929 10801462 11085711 14780948 16202193 17194164 20059858 21602924 22171422 30089787 32404386 40119716 44342844 60179574 64808772 70209503 120359148 140419006 210628509 280838012 421257018 842514036