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536150880 = 25335791571
BaseRepresentation
bin11111111101010…
…000001101100000
31101100212021202000
4133331100031200
52044223312010
6125111324000
716200131046
oct3775201540
91340767660
10536150880
11255709101
1212b680600
1387101955
14512c6396
15321097c0
hex1ff50360

536150880 has 192 divisors, whose sum is σ = 1901491200. Its totient is φ = 141073920.

The previous prime is 536150773. The next prime is 536150893. The reversal of 536150880 is 88051635.

It is a super-2 number, since 2×5361508802 = 574915532249548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340495 + ... + 342065.

It is an arithmetic number, because the mean of its divisors is an integer number (9903600).

Almost surely, 2536150880 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 536150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950745600).

536150880 is an abundant number, since it is smaller than the sum of its proper divisors (1365340320).

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

536150880 is a wasteful number, since it uses less digits than its factorization.

536150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 536150880 is about 23154.9320880023. The cubic root of 536150880 is about 812.3858326372.

The spelling of 536150880 in words is "five hundred thirty-six million, one hundred fifty thousand, eight hundred eighty".