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538401816 = 23346712401
BaseRepresentation
bin100000000101110…
…101110000011000
31101112002122110000
4200011311300120
52100312324231
6125231453000
716225224411
oct4005656030
91345078400
10538401816
11256a06287
12130387160
138770c374
1451710808
15324016e6
hex20175c18

538401816 has 80 divisors (see below), whose sum is σ = 1530654840. Its totient is φ = 176774400.

The previous prime is 538401797. The next prime is 538401817. The reversal of 538401816 is 618104835.

538401816 is a `hidden beast` number, since 538 + 40 + 1 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538401817) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 37216 + ... + 49616.

Almost surely, 2538401816 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 538401816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765327420).

538401816 is an abundant number, since it is smaller than the sum of its proper divisors (992253024).

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

538401816 is a wasteful number, since it uses less digits than its factorization.

538401816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 538401816 is about 23203.4871517192. The cubic root of 538401816 is about 813.5211320945.

The spelling of 538401816 in words is "five hundred thirty-eight million, four hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 12401 14472 21708 24802 37203 43416 49604 74406 99208 111609 148812 223218 297624 334827 446436 669654 830867 892872 1004481 1339308 1661734 2008962 2492601 2678616 3323468 4017924 4985202 6646936 7477803 8035848 9970404 14955606 19940808 22433409 29911212 44866818 59822424 67300227 89733636 134600454 179467272 269200908 538401816