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533053136 = 247114161173
BaseRepresentation
bin11111110001011…
…011111011010000
31101011000220102202
4133301123323100
52042430200021
6124521102332
716131606530
oct3761337320
91334026382
10533053136
11253992790
1212a6279a8
1386588975
1450b1b4c0
1531be6a0b
hex1fc5bed0

533053136 has 160 divisors (see below), whose sum is σ = 1348413696. Its totient is φ = 198144000.

The previous prime is 533053109. The next prime is 533053159. The reversal of 533053136 is 631350335.

It is a junction number, because it is equal to n+sod(n) for n = 533053099 and 533053108.

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, 3081146 + ... + 3081318.

Almost surely, 2533053136 is an apocalyptic number.

533053136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674206848).

533053136 is an abundant number, since it is smaller than the sum of its proper divisors (815360560).

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

533053136 is a wasteful number, since it uses less digits than its factorization.

533053136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 29.

The square root of 533053136 is about 23087.9435203744. The cubic root of 533053136 is about 810.8182231335.

The spelling of 533053136 in words is "five hundred thirty-three million, fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 61 77 82 88 112 122 154 164 173 176 244 287 308 328 346 427 451 488 574 616 656 671 692 854 902 976 1148 1211 1232 1342 1384 1708 1804 1903 2296 2422 2501 2684 2768 3157 3416 3608 3806 4592 4697 4844 5002 5368 6314 6832 7093 7216 7612 9394 9688 10004 10553 10736 12628 13321 14186 15224 17507 18788 19376 20008 21106 25256 26642 27511 28372 30448 35014 37576 40016 42212 49651 50512 53284 55022 56744 70028 73871 75152 78023 84424 99302 106568 110044 113488 116083 140056 147742 156046 168848 192577 198604 213136 220088 232166 280112 295484 312092 385154 397208 432673 440176 464332 546161 590968 624184 770308 794416 812581 865346 928664 1092322 1181936 1248368 1540616 1625162 1730692 1857328 2184644 3028711 3081232 3250324 3461384 4369288 4759403 6057422 6500648 6922768 8738576 9518806 12114844 13001296 19037612 24229688 33315821 38075224 48459376 66631642 76150448 133263284 266526568 533053136