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533056464 = 2436231987
BaseRepresentation
bin11111110001011…
…100101111010000
31101011001002000000
4133301130233100
52042430301324
6124521130000
716131622323
oct3761345720
91334032000
10533056464
11253995236
1212a629900
138658a335
1450b1c7ba
1531be79c9
hex1fc5cbd0

533056464 has 140 divisors (see below), whose sum is σ = 1616625696. Its totient is φ = 169874496.

The previous prime is 533056463. The next prime is 533056477. The reversal of 533056464 is 464650335.

533056464 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 5 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533056463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 267279 + ... + 269265.

Almost surely, 2533056464 is an apocalyptic number.

533056464 is a gapful number since it is divisible by the number (54) 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 533056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808312848).

533056464 is an abundant number, since it is smaller than the sum of its proper divisors (1083569232).

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

533056464 is a wasteful number, since it uses less digits than its factorization.

533056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 533056464 is about 23088.0155925103. The cubic root of 533056464 is about 810.8199105184.

The spelling of 533056464 in words is "five hundred thirty-three million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 972 1104 1242 1296 1458 1656 1863 1944 1987 2484 2916 3312 3726 3888 3974 4968 5589 5832 5961 7452 7948 9936 11178 11664 11922 14904 15896 16767 17883 22356 23844 29808 31792 33534 35766 44712 45701 47688 53649 67068 71532 89424 91402 95376 107298 134136 137103 143064 160947 182804 214596 268272 274206 286128 321894 365608 411309 429192 482841 548412 643788 731216 822618 858384 965682 1096824 1233927 1287576 1448523 1645236 1931364 2193648 2467854 2575152 2897046 3290472 3701781 3862728 4935708 5794092 6580944 7403562 7725456 9871416 11105343 11588184 14807124 19742832 22210686 23176368 29614248 33316029 44421372 59228496 66632058 88842744 133264116 177685488 266528232 533056464