Search a number
-
+
537390000 = 2432547853
BaseRepresentation
bin100000000001111…
…110101110110000
31101110012020111100
4200001332232300
52100032440000
6125154044400
716213511460
oct4001765660
91343166440
10537390000
11256385074
1212bb79700
1387446964
1451529ba0
15322a1a00
hex2007ebb0

537390000 has 300 divisors, whose sum is σ = 2150324176. Its totient is φ = 122688000.

The previous prime is 537389999. The next prime is 537390017. The reversal of 537390000 is 93735.

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629574 + ... + 630426.

Almost surely, 2537390000 is an apocalyptic number.

537390000 is a gapful number since it is divisible by the number (50) 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 537390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075162088).

537390000 is an abundant number, since it is smaller than the sum of its proper divisors (1612934176).

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

537390000 is a wasteful number, since it uses less digits than its factorization.

537390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 537390000 is about 23181.6737963418. The cubic root of 537390000 is about 813.0111970426.

The spelling of 537390000 in words is "five hundred thirty-seven million, three hundred ninety thousand".