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4054016 = 21037107
BaseRepresentation
bin1111011101110000000000
321121222001202
433131300000
52014212031
6222520332
746313201
oct17356000
97558052
104054016
11231992a
1214360a8
13abc335
147775a8
155512cb
hex3ddc00

4054016 has 44 divisors (see below), whose sum is σ = 8400888. Its totient is φ = 1953792.

The previous prime is 4054009. The next prime is 4054019. The reversal of 4054016 is 6104504.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37835 + ... + 37941.

Almost surely, 24054016 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 4054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200444).

4054016 is an abundant number, since it is smaller than the sum of its proper divisors (4346872).

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

4054016 is a wasteful number, since it uses less digits than its factorization.

4054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4054016 is about 2013.4587157426. The cubic root of 4054016 is about 159.4514548464.

The spelling of 4054016 in words is "four million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 107 128 148 214 256 296 428 512 592 856 1024 1184 1712 2368 3424 3959 4736 6848 7918 9472 13696 15836 18944 27392 31672 37888 54784 63344 109568 126688 253376 506752 1013504 2027008 4054016