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536054336 = 26174161197
BaseRepresentation
bin11111111100111…
…000101001000000
31101100200101022022
4133330320221000
52044212214321
6125105301012
716166246426
oct3774705100
91340611268
10536054336
11255652614
1212b634768
1387099a1c
145129d116
15320dadab
hex1ff38a40

536054336 has 112 divisors (see below), whose sum is σ = 1178643312. Its totient is φ = 240844800.

The previous prime is 536054329. The next prime is 536054347. The reversal of 536054336 is 633450635.

It can be written as a sum of positive squares in 8 ways, for example, as 7054336 + 529000000 = 2656^2 + 23000^2 .

It is a super-2 number, since 2×5360543362 = 574708502288801792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 536054296 and 536054305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2720990 + ... + 2721186.

It is an arithmetic number, because the mean of its divisors is an integer number (10523601).

Almost surely, 2536054336 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 536054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589321656).

536054336 is an abundant number, since it is smaller than the sum of its proper divisors (642588976).

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

536054336 is a wasteful number, since it uses less digits than its factorization.

536054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

The square root of 536054336 is about 23152.8472547115. The cubic root of 536054336 is about 812.3370679524.

The spelling of 536054336 in words is "five hundred thirty-six million, fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 41 61 64 68 82 122 136 164 197 244 272 328 394 488 544 656 697 788 976 1037 1088 1312 1394 1576 1952 2074 2501 2624 2788 3152 3349 3904 4148 5002 5576 6304 6698 8077 8296 10004 11152 12017 12608 13396 16154 16592 20008 22304 24034 26792 32308 33184 40016 42517 44608 48068 53584 64616 66368 80032 85034 96136 107168 129232 137309 160064 170068 192272 204289 214336 258464 274618 340136 384544 408578 492697 516928 549236 680272 769088 817156 985394 1098472 1360544 1634312 1970788 2196944 2721088 3268624 3941576 4393888 6537248 7883152 8375849 8787776 13074496 15766304 16751698 31532608 33503396 67006792 134013584 268027168 536054336