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4535904 = 253371277
BaseRepresentation
bin10001010011011001100000
322112110002110
4101103121200
52130122104
6241115320
753361132
oct21233140
98473073
104535904
11261898a
121628b40
13c2a789
14861052
155e8e89
hex453660

4535904 has 48 divisors (see below), whose sum is σ = 12238128. Its totient is φ = 1469952.

The previous prime is 4535893. The next prime is 4535911. The reversal of 4535904 is 4095354.

It is a tau number, because it is divible by the number of its divisors (48).

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, 2914 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (254961).

Almost surely, 24535904 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 4535904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119064).

4535904 is an abundant number, since it is smaller than the sum of its proper divisors (7702224).

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

4535904 is a wasteful number, since it uses less digits than its factorization.

4535904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 4535904 is about 2129.7661843498. The cubic root of 4535904 is about 165.5342827760.

The spelling of 4535904 in words is "four million, five hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1277 1776 2554 3552 3831 5108 7662 10216 15324 20432 30648 40864 47249 61296 94498 122592 141747 188996 283494 377992 566988 755984 1133976 1511968 2267952 4535904