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4166016 = 27319571
BaseRepresentation
bin1111111001000110000000
321211122200220
433321012000
52031303031
6225143040
750260551
oct17710600
97748626
104166016
112395a98
12148aa80
13b2b2ca
147a6328
15574596
hex3f9180

4166016 has 64 divisors (see below), whose sum is σ = 11668800. Its totient is φ = 1313280.

The previous prime is 4166011. The next prime is 4166017. The reversal of 4166016 is 6106614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166011) 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, 7011 + ... + 7581.

It is an arithmetic number, because the mean of its divisors is an integer number (182325).

Almost surely, 24166016 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 4166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834400).

4166016 is an abundant number, since it is smaller than the sum of its proper divisors (7502784).

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

4166016 is a wasteful number, since it uses less digits than its factorization.

4166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4166016 is about 2041.0820659640. The cubic root of 4166016 is about 160.9065208414.

The spelling of 4166016 in words is "four million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 571 608 912 1142 1216 1713 1824 2284 2432 3426 3648 4568 6852 7296 9136 10849 13704 18272 21698 27408 32547 36544 43396 54816 65094 73088 86792 109632 130188 173584 219264 260376 347168 520752 694336 1041504 1388672 2083008 4166016