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535470048 = 25334431399
BaseRepresentation
bin11111111010101…
…001111111100000
31101022120200211000
4133322221333200
52044040020143
6125044552000
716161264111
oct3772517740
91338520730
10535470048
11255293633
1212b3b2600
1386c23aa9
145118a208
1532022bd3
hex1fea9fe0

535470048 has 96 divisors (see below), whose sum is σ = 1566432000. Its totient is φ = 177959808.

The previous prime is 535470043. The next prime is 535470059. The reversal of 535470048 is 840074535.

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

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 = 535469994 and 535470021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535470041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382053 + ... + 383451.

It is an arithmetic number, because the mean of its divisors is an integer number (16317000).

Almost surely, 2535470048 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 535470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783216000).

535470048 is an abundant number, since it is smaller than the sum of its proper divisors (1030961952).

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

535470048 is a wasteful number, since it uses less digits than its factorization.

535470048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 535470048 is about 23140.2257551650. The cubic root of 535470048 is about 812.0418171901.

The spelling of 535470048 in words is "five hundred thirty-five million, four hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 443 864 886 1329 1399 1772 2658 2798 3544 3987 4197 5316 5596 7088 7974 8394 10632 11192 11961 12591 14176 15948 16788 21264 22384 23922 25182 31896 33576 37773 42528 44768 47844 50364 63792 67152 75546 95688 100728 127584 134304 151092 191376 201456 302184 382752 402912 604368 619757 1208736 1239514 1859271 2479028 3718542 4958056 5577813 7437084 9916112 11155626 14874168 16733439 19832224 22311252 29748336 33466878 44622504 59496672 66933756 89245008 133867512 178490016 267735024 535470048