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537584240 = 24524127883
BaseRepresentation
bin100000000010101…
…110001001110000
31101110120002221102
4200002232021300
52100110143430
6125202143532
716215250664
oct4002561160
91343502842
10537584240
112564a7aa6
12130051ba8
13874b41ab
145157a8a4
15322de345
hex200ae270

537584240 has 40 divisors (see below), whose sum is σ = 1255114608. Its totient is φ = 214133760.

The previous prime is 537584231. The next prime is 537584263. The reversal of 537584240 is 42485735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 537584194 and 537584203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5339 + ... + 33221.

Almost surely, 2537584240 is an apocalyptic number.

It is an amenable number.

537584240 is an abundant number, since it is smaller than the sum of its proper divisors (717530368).

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

537584240 is a wasteful number, since it uses less digits than its factorization.

537584240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28137 (or 28131 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 537584240 is about 23185.8629341243. The cubic root of 537584240 is about 813.1091397361.

It can be divided in two parts, 537584 and 240, that added together give a 5-th power (537824 = 145).

The spelling of 537584240 in words is "five hundred thirty-seven million, five hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 27883 55766 111532 139415 223064 278830 446128 557660 1115320 2230640 6719803 13439606 26879212 33599015 53758424 67198030 107516848 134396060 268792120 537584240