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4505904 = 2432132983
BaseRepresentation
bin10001001100000100110000
322110220221100
4101030010300
52123142104
6240324400
753204514
oct21140460
98426840
104505904
1125a8397
121613700
13c19c20
14854144
155e0139
hex44c130

4505904 has 120 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1322496.

The previous prime is 4505899. The next prime is 4505929. The reversal of 4505904 is 4095054.

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 23 ways as a sum of consecutive naturals, for example, 54247 + ... + 54329.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 24505904 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 4505904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4505904 is an abundant number, since it is smaller than the sum of its proper divisors (9711936).

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

4505904 is a wasteful number, since it uses less digits than its factorization.

4505904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4505904 is about 2122.7114735639. The cubic root of 4505904 is about 165.1685330338.

The spelling of 4505904 in words is "four million, five hundred five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 83 87 104 116 117 144 156 166 174 208 232 234 249 261 312 332 348 377 464 468 498 522 624 664 696 747 754 936 996 1044 1079 1131 1328 1392 1494 1508 1872 1992 2088 2158 2262 2407 2988 3016 3237 3393 3984 4176 4316 4524 4814 5976 6032 6474 6786 7221 8632 9048 9628 9711 11952 12948 13572 14442 17264 18096 19256 19422 21663 25896 27144 28884 31291 38512 38844 43326 51792 54288 57768 62582 77688 86652 93873 115536 125164 155376 173304 187746 250328 281619 346608 375492 500656 563238 750984 1126476 1501968 2252952 4505904