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535032368 = 24132296823
BaseRepresentation
bin11111111000111…
…111001000110000
31101021202110102122
4133320333020300
52043432013433
6125031333412
716154462063
oct3770771060
91337673378
10535032368
11255014812
1212b221268
1386acc800
14510b48da
1531e88198
hex1fe3f230

535032368 has 60 divisors (see below), whose sum is σ = 1161376560. Its totient is φ = 238387968.

The previous prime is 535032269. The next prime is 535032383. The reversal of 535032368 is 863230535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75005 + ... + 81827.

It is an arithmetic number, because the mean of its divisors is an integer number (19356276).

Almost surely, 2535032368 is an apocalyptic number.

535032368 is a gapful number since it is divisible by the number (58) 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 535032368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580688280).

535032368 is an abundant number, since it is smaller than the sum of its proper divisors (626344192).

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

535032368 is a wasteful number, since it uses less digits than its factorization.

535032368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 535032368 is about 23130.7666971936. The cubic root of 535032368 is about 811.8205092361.

The spelling of 535032368 in words is "five hundred thirty-five million, thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1352 1508 2704 3016 4901 6032 6823 9802 13646 19604 27292 39208 54584 78416 88699 109168 177398 197867 354796 395734 709592 791468 1153087 1419184 1582936 2306174 2572271 3165872 4612348 5144542 9224696 10289084 18449392 20578168 33439523 41156336 66879046 133758092 267516184 535032368