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504000016 = 24134195783
BaseRepresentation
bin11110000010100…
…110111000010000
31022010100212001021
4132002212320100
52013011000031
6122002245224
715326633542
oct3602467020
91263325037
10504000016
11239549743
12120956814
1380555980
144ad17692
152e3a8511
hex1e0a6e10

504000016 has 40 divisors (see below), whose sum is σ = 1054307520. Its totient is φ = 232020096.

The previous prime is 504000011. The next prime is 504000031. The reversal of 504000016 is 610000405.

It is a super-2 number, since 2×5040000162 = 508032032256000512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (504000011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84261 + ... + 90043.

It is an arithmetic number, because the mean of its divisors is an integer number (26357688).

Almost surely, 2504000016 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 504000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527153760).

504000016 is an abundant number, since it is smaller than the sum of its proper divisors (550307504).

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

504000016 is a wasteful number, since it uses less digits than its factorization.

504000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 504000016 is about 22449.9446769920. The cubic root of 504000016 is about 795.8114500006.

The spelling of 504000016 in words is "five hundred four million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 419 838 1676 3352 5447 5783 6704 10894 11566 21788 23132 43576 46264 75179 87152 92528 150358 300716 601432 1202864 2423077 4846154 9692308 19384616 31500001 38769232 63000002 126000004 252000008 504000016