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4014416 = 24773491
BaseRepresentation
bin1111010100000101010000
321112221202002
433110011100
52011430131
6222013132
746056560
oct17240520
97487662
104014416
1122a20aa
1214171a8
13aa72c3
14766da0
155446cb
hex3d4150

4014416 has 40 divisors (see below), whose sum is σ = 9029184. Its totient is φ = 1693440.

The previous prime is 4014403. The next prime is 4014421. The reversal of 4014416 is 6144104.

It is a happy number.

It is a super-2 number, since 2×40144162 = 32231071642112, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7931 + ... + 8421.

Almost surely, 24014416 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 4014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514592).

4014416 is an abundant number, since it is smaller than the sum of its proper divisors (5014768).

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

4014416 is a wasteful number, since it uses less digits than its factorization.

4014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4014416 is about 2003.6007586343. The cubic root of 4014416 is about 158.9305763401.

The spelling of 4014416 in words is "four million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 491 511 584 982 1022 1168 1964 2044 3437 3928 4088 6874 7856 8176 13748 27496 35843 54992 71686 143372 250901 286744 501802 573488 1003604 2007208 4014416