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537340608 = 26337311433
BaseRepresentation
bin100000000001110…
…010101011000000
31101110002201202000
4200001302223000
52100024344413
6125153024000
716213214460
oct4001625300
91343081660
10537340608
11256350a52
1212bb55000
138742a32c
1451515ba0
1532292073
hex20072ac0

537340608 has 224 divisors, whose sum is σ = 1864888320. Its totient is φ = 148469760.

The previous prime is 537340591. The next prime is 537340619. The reversal of 537340608 is 806043735.

It is a happy number.

537340608 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 40 + 608 = 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 (36).

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, 374260 + ... + 375692.

Almost surely, 2537340608 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 537340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932444160).

537340608 is an abundant number, since it is smaller than the sum of its proper divisors (1327547712).

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

537340608 is a wasteful number, since it uses less digits than its factorization.

537340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 537340608 is about 23180.6084475796. The cubic root of 537340608 is about 812.9862880818.

The spelling of 537340608 in words is "five hundred thirty-seven million, three hundred forty thousand, six hundred eight".