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538903504 = 24314723117
BaseRepresentation
bin100000000111110…
…000001111010000
31101120001010122001
4200013300033100
52100424403004
6125250323344
716232414146
oct4007601720
91346033561
10538903504
112572191a7
12130589554
1387856819
1451801596
15324a01a4
hex201f03d0

538903504 has 40 divisors (see below), whose sum is σ = 1100786688. Its totient is φ = 255200640.

The previous prime is 538903493. The next prime is 538903529. The reversal of 538903504 is 405309835.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11754 + ... + 34870.

Almost surely, 2538903504 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 538903504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550393344).

538903504 is an abundant number, since it is smaller than the sum of its proper divisors (561883184).

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

538903504 is a wasteful number, since it uses less digits than its factorization.

538903504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23203 (or 23197 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 538903504 is about 23214.2952509871. The cubic root of 538903504 is about 813.7737359277.

The spelling of 538903504 in words is "five hundred thirty-eight million, nine hundred three thousand, five hundred four".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 23117 23312 46234 92468 184936 369872 716627 1086499 1433254 2172998 2866508 4345996 5733016 8691992 11466032 17383984 33681469 67362938 134725876 269451752 538903504