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536421312 = 2633761727
BaseRepresentation
bin11111111110010…
…010001111000000
31101101101000201000
4133332102033000
52044310440222
6125121212000
716202335350
oct3776221700
91341330630
10536421312
112558832a9
1212b791000
1387197a7b
1451356b60
153215e9ac
hex1ff923c0

536421312 has 224 divisors, whose sum is σ = 1834327040. Its totient is φ = 150543360.

The previous prime is 536421311. The next prime is 536421317. The reversal of 536421312 is 213124635.

536421312 is a `hidden beast` number, since 5 + 3 + 642 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536421311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737493 + ... + 738219.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2536421312 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 536421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917163520).

536421312 is an abundant number, since it is smaller than the sum of its proper divisors (1297905728).

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

536421312 is a wasteful number, since it uses less digits than its factorization.

536421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 536421312 is about 23160.7709716235. The cubic root of 536421312 is about 812.5223975522.

Adding to 536421312 its reverse (213124635), we get a palindrome (749545947).

The spelling of 536421312 in words is "five hundred thirty-six million, four hundred twenty-one thousand, three hundred twelve".