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4073904 = 2432191489
BaseRepresentation
bin1111100010100110110000
321122222100100
433202212300
52020331104
6223152400
746425162
oct17424660
97588310
104073904
11233286a
121445700
13ac83c3
14780932
15557139
hex3e29b0

4073904 has 60 divisors (see below), whose sum is σ = 12009400. Its totient is φ = 1285632.

The previous prime is 4073899. The next prime is 4073917. The reversal of 4073904 is 4093704.

4073904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 3480.

Almost surely, 24073904 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 4073904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004700).

4073904 is an abundant number, since it is smaller than the sum of its proper divisors (7935496).

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

4073904 is a wasteful number, since it uses less digits than its factorization.

4073904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4073904 is about 2018.3914387452. The cubic root of 4073904 is about 159.7117727601.

The spelling of 4073904 in words is "four million, seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1489 2736 2978 4467 5956 8934 11912 13401 17868 23824 26802 28291 35736 53604 56582 71472 84873 107208 113164 169746 214416 226328 254619 339492 452656 509238 678984 1018476 1357968 2036952 4073904