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537823440 = 2432571189109
BaseRepresentation
bin100000000011101…
…000100011010000
31101111000021001200
4200003220203100
52100140322230
6125211231200
716220265240
oct4003504320
91344007050
10537823440
11256650790
12130148500
138756902b
14515ddb20
153233a160
hex200e88d0

537823440 has 480 divisors, whose sum is σ = 2298067200. Its totient is φ = 109486080.

The previous prime is 537823423. The next prime is 537823469. The reversal of 537823440 is 44328735.

It is a happy number.

537823440 is a `hidden beast` number, since 537 + 82 + 3 + 4 + 40 = 666.

It is a super-2 number, since 2×5378234402 = 578508105226867200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 537823395 and 537823404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4934106 + ... + 4934214.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2537823440 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 537823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

537823440 is an abundant number, since it is smaller than the sum of its proper divisors (1760243760).

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

537823440 is a wasteful number, since it uses less digits than its factorization.

537823440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 537823440 is about 23191.0206761151. The cubic root of 537823440 is about 813.2297204449.

The spelling of 537823440 in words is "five hundred thirty-seven million, eight hundred twenty-three thousand, four hundred forty".