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537352704 = 29357617
BaseRepresentation
bin100000000001110…
…101101000000000
31101110010100100000
4200001311220000
52100030241304
6125153200000
716213264650
oct4001655000
91343110300
10537352704
1125635a049
1212bb60000
13874329a5
145151a360
1532295939
hex20075a00

537352704 has 240 divisors, whose sum is σ = 1841007168. Its totient is φ = 153280512.

The previous prime is 537352649. The next prime is 537352757. The reversal of 537352704 is 407253735.

537352704 is a `hidden beast` number, since 537 + 3 + 52 + 70 + 4 = 666.

It is a super-2 number, since 2×5373527042 = 577495856992223232, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 870604 + ... + 871220.

Almost surely, 2537352704 is an apocalyptic number.

537352704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920503584).

537352704 is an abundant number, since it is smaller than the sum of its proper divisors (1303654464).

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

537352704 is an frugal number, since it uses more digits than its factorization.

537352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 537352704 is about 23180.8693538443. The cubic root of 537352704 is about 812.9923883766.

The spelling of 537352704 in words is "five hundred thirty-seven million, three hundred fifty-two thousand, seven hundred four".