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4474416 = 24331297
BaseRepresentation
bin10001000100011000110000
322102022202010
4101010120300
52121140131
6235522520
753013642
oct21043060
98368663
104474416
112586771
1215b9440
13c087ab
14846892
155d5b46
hex444630

4474416 has 60 divisors (see below), whose sum is σ = 12066936. Its totient is φ = 1428480.

The previous prime is 4474409. The next prime is 4474427. The reversal of 4474416 is 6144744.

It is a d-powerful number, because it can be written as 45 + 47 + 73 + 49 + 411 + 1 + 63 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46080 + ... + 46176.

Almost surely, 24474416 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 4474416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033468).

4474416 is an abundant number, since it is smaller than the sum of its proper divisors (7592520).

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

4474416 is a wasteful number, since it uses less digits than its factorization.

4474416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 4474416 is about 2115.2815415448. The cubic root of 4474416 is about 164.7828916792.

The spelling of 4474416 in words is "four million, four hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 186 194 248 291 372 388 496 582 744 776 961 1164 1488 1552 1922 2328 2883 3007 3844 4656 5766 6014 7688 9021 11532 12028 15376 18042 23064 24056 36084 46128 48112 72168 93217 144336 186434 279651 372868 559302 745736 1118604 1491472 2237208 4474416