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537264768 = 2732775051
BaseRepresentation
bin100000000001100…
…000001010000000
31101102221212201010
4200001200022000
52100014433033
6125151240520
716212450405
oct4001401200
91342855633
10537264768
112562a9a77
1212bb19140
1387401961
14514d62ac
1532279863
hex20060280

537264768 has 64 divisors (see below), whose sum is σ = 1432545120. Its totient is φ = 178406400.

The previous prime is 537264733. The next prime is 537264781. The reversal of 537264768 is 867462735.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 103843 + ... + 108893.

Almost surely, 2537264768 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 537264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716272560).

537264768 is an abundant number, since it is smaller than the sum of its proper divisors (895280352).

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

537264768 is a wasteful number, since it uses less digits than its factorization.

537264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5333 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 537264768 is about 23178.9725397827. The cubic root of 537264768 is about 812.9480381151.

The spelling of 537264768 in words is "five hundred thirty-seven million, two hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 2216 3324 4432 5051 6648 8864 10102 13296 15153 17728 20204 26592 30306 35456 40408 53184 60612 80816 106368 121224 161632 242448 323264 484896 646528 969792 1399127 1939584 2798254 4197381 5596508 8394762 11193016 16789524 22386032 33579048 44772064 67158096 89544128 134316192 179088256 268632384 537264768