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537582420 = 22345331841
BaseRepresentation
bin100000000010101…
…101101101010100
31101110120000110000
4200002231231110
52100110114140
6125202131300
716215242454
oct4002555524
91343500400
10537582420
112564a66a1
12130050b30
13874b340b
1451579d64
15322dda30
hex200adb54

537582420 has 60 divisors (see below), whose sum is σ = 1686421044. Its totient is φ = 143354880.

The previous prime is 537582413. The next prime is 537582433. The reversal of 537582420 is 24285735.

537582420 is a `hidden beast` number, since 5 + 37 + 582 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131882256 + 405700164 = 11484^2 + 20142^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 164301 + ... + 167540.

Almost surely, 2537582420 is an apocalyptic number.

It is an amenable number.

537582420 is an abundant number, since it is smaller than the sum of its proper divisors (1148838624).

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

537582420 is a wasteful number, since it uses less digits than its factorization.

537582420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331862 (or 331851 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 537582420 is about 23185.8236860371. The cubic root of 537582420 is about 813.1082221370.

The spelling of 537582420 in words is "five hundred thirty-seven million, five hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 331841 663682 995523 1327364 1659205 1991046 2986569 3318410 3982092 4977615 5973138 6636820 8959707 9955230 11946276 14932845 17919414 19910460 26879121 29865690 35838828 44798535 53758242 59731380 89597070 107516484 134395605 179194140 268791210 537582420