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534542016 = 26317389421
BaseRepresentation
bin11111110111000…
…111011011000000
31101020211112210110
4133313013123000
52043320321031
6125013031320
716150350351
oct3767073300
91336745713
10534542016
1125480a368
1212b025540
138698a568
1450dc7d28
1531ddcc46
hex1fdc76c0

534542016 has 112 divisors (see below), whose sum is σ = 1504919520. Its totient is φ = 166871040.

The previous prime is 534542009. The next prime is 534542023. The reversal of 534542016 is 610245435.

It is an interprime number because it is at equal distance from previous prime (534542009) and next prime (534542023).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1269486 + ... + 1269906.

Almost surely, 2534542016 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 534542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752459760).

534542016 is an abundant number, since it is smaller than the sum of its proper divisors (970377504).

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

534542016 is a wasteful number, since it uses less digits than its factorization.

534542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 534542016 is about 23120.1647052957. The cubic root of 534542016 is about 811.5724248786.

The spelling of 534542016 in words is "five hundred thirty-four million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 389 408 421 544 778 816 842 1088 1167 1263 1556 1632 1684 2334 2526 3112 3264 3368 4668 5052 6224 6613 6736 7157 9336 10104 12448 13226 13472 14314 18672 19839 20208 21471 24896 26452 26944 28628 37344 39678 40416 42942 52904 57256 74688 79356 80832 85884 105808 114512 158712 163769 171768 211616 229024 317424 327538 343536 423232 458048 491307 634848 655076 687072 982614 1269696 1310152 1374144 1965228 2620304 2784073 3930456 5240608 5568146 7860912 8352219 10481216 11136292 15721824 16704438 22272584 31443648 33408876 44545168 66817752 89090336 133635504 178180672 267271008 534542016