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535109952 = 263131712611
BaseRepresentation
bin11111111001010…
…010000101000000
31101021220101212010
4133321102011000
52043442004302
6125033132520
716155234216
oct3771220500
91337811763
10535109952
11255068033
1212b25a140
1386b28c10
14510d4cb6
1531ea116c
hex1fe52140

535109952 has 112 divisors (see below), whose sum is σ = 1614537792. Its totient is φ = 154951680.

The previous prime is 535109891. The next prime is 535109959. The reversal of 535109952 is 259901535.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 535109952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535109959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36127 + ... + 48737.

It is an arithmetic number, because the mean of its divisors is an integer number (14415516).

Almost surely, 2535109952 is an apocalyptic number.

535109952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807268896).

535109952 is an abundant number, since it is smaller than the sum of its proper divisors (1079427840).

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

535109952 is a wasteful number, since it uses less digits than its factorization.

535109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 535109952 is about 23132.4437100796. The cubic root of 535109952 is about 811.8597475090.

The spelling of 535109952 in words is "five hundred thirty-five million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 12611 14144 21216 25222 37833 42432 50444 75666 100888 151332 163943 201776 214387 302664 327886 403552 428774 491829 605328 643161 655772 807104 857548 983658 1210656 1286322 1311544 1715096 1967316 2421312 2572644 2623088 2787031 3430192 3934632 5145288 5246176 5574062 6860384 7869264 8361093 10290576 10492352 11148124 13720768 15738528 16722186 20581152 22296248 31477056 33444372 41162304 44592496 66888744 89184992 133777488 178369984 267554976 535109952