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534256128 = 293375521
BaseRepresentation
bin11111110110000…
…001101000000000
31101020022000122000
4133312001220000
52043232144003
6125002544000
716145050020
oct3766015000
91336260560
10534256128
1125463459a
1212ab08000
13868ba3b3
1450d51a80
1531d831a3
hex1fd81a00

534256128 has 160 divisors (see below), whose sum is σ = 1807681920. Its totient is φ = 152616960.

The previous prime is 534256103. The next prime is 534256147. The reversal of 534256128 is 821652435.

534256128 is a `hidden beast` number, since 5 + 34 + 2 + 5 + 612 + 8 = 666.

It is a super-2 number, since 2×5342561282 = 570859220611104768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 534256092 and 534256101.

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, 94008 + ... + 99528.

It is an arithmetic number, because the mean of its divisors is an integer number (11298012).

Almost surely, 2534256128 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 534256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903840960).

534256128 is an abundant number, since it is smaller than the sum of its proper divisors (1273425792).

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

534256128 is an equidigital number, since it uses as much as digits as its factorization.

534256128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5533 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 534256128 is about 23113.9812234933. The cubic root of 534256128 is about 811.4277152106.

The spelling of 534256128 in words is "five hundred thirty-four million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 5521 6048 6912 8064 10752 11042 12096 13824 16128 16563 22084 24192 32256 33126 38647 44168 48384 49689 66252 77294 88336 96768 99378 115941 132504 149067 154588 176672 198756 231882 265008 298134 309176 347823 353344 397512 463764 530016 596268 618352 695646 706688 795024 927528 1043469 1060032 1192536 1236704 1391292 1413376 1590048 1855056 2086938 2120064 2385072 2473408 2782584 2826752 3180096 3710112 4173876 4240128 4770144 4946816 5565168 6360192 7420224 8347752 8480256 9540288 9893632 11130336 12720384 14840448 16695504 19080576 19787264 22260672 25440768 29680896 33391008 38161152 44521344 59361792 66782016 76322304 89042688 133564032 178085376 267128064 534256128