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535045728 = 25371994001
BaseRepresentation
bin11111111001000…
…010011001100000
31101021210010202110
4133321002121200
52043432430403
6125031515320
716154546040
oct3771023140
91337703673
10535045728
11255023858
1212b228b40
1386b05909
14510b9720
1531e8c103
hex1fe42660

535045728 has 96 divisors (see below), whose sum is σ = 1613606400. Its totient is φ = 152064000.

The previous prime is 535045727. The next prime is 535045733. The reversal of 535045728 is 827540535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535045727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131728 + ... + 135728.

It is an arithmetic number, because the mean of its divisors is an integer number (16808400).

Almost surely, 2535045728 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 535045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806803200).

535045728 is an abundant number, since it is smaller than the sum of its proper divisors (1078560672).

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

535045728 is a wasteful number, since it uses less digits than its factorization.

535045728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 535045728 is about 23131.0554882392. The cubic root of 535045728 is about 811.8272663549.

The spelling of 535045728 in words is "five hundred thirty-five million, forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 199 224 336 398 597 672 796 1194 1393 1592 2388 2786 3184 4001 4179 4776 5572 6368 8002 8358 9552 11144 12003 16004 16716 19104 22288 24006 28007 32008 33432 44576 48012 56014 64016 66864 84021 96024 112028 128032 133728 168042 192048 224056 336084 384096 448112 672168 796199 896224 1344336 1592398 2388597 2688672 3184796 4777194 5573393 6369592 9554388 11146786 12739184 16720179 19108776 22293572 25478368 33440358 38217552 44587144 66880716 76435104 89174288 133761432 178348576 267522864 535045728