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534912 = 2737199
BaseRepresentation
bin10000010100110000000
31000011202120
42002212000
5114104122
615244240
74355340
oct2024600
91004676
10534912
11335984
12219680
13159621
14dcd20
15a875c
hex82980

534912 has 64 divisors (see below), whose sum is σ = 1632000. Its totient is φ = 152064.

The previous prime is 534889. The next prime is 534913. The reversal of 534912 is 219435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5349122 = 572261695488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 55 + 312 + 92 + 44 + 1 + 23 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2589 + ... + 2787.

It is an arithmetic number, because the mean of its divisors is an integer number (25500).

2534912 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 534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816000).

534912 is an abundant number, since it is smaller than the sum of its proper divisors (1097088).

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

534912 is a wasteful number, since it uses less digits than its factorization.

534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 534912 is about 731.3767838809. The cubic root of 534912 is about 81.1759625356.

The spelling of 534912 in words is "five hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 336 384 398 448 597 672 796 896 1194 1344 1393 1592 2388 2688 2786 3184 4179 4776 5572 6368 8358 9552 11144 12736 16716 19104 22288 25472 33432 38208 44576 66864 76416 89152 133728 178304 267456 534912