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5435104 = 251797103
BaseRepresentation
bin10100101110111011100000
3101020010120011
4110232323200
52342410404
6312254304
764124533
oct24567340
911203504
105435104
113082524
1219a1394
131183b4c
14a16a1a
15725604
hex52eee0

5435104 has 48 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 2506752.

The previous prime is 5435081. The next prime is 5435117. The reversal of 5435104 is 4015345.

5435104 = T272 + T273 + ... + T374.

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, 52717 + ... + 52819.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 25435104 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 5435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

5435104 is an abundant number, since it is smaller than the sum of its proper divisors (6122624).

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

5435104 is a wasteful number, since it uses less digits than its factorization.

5435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5435104 is about 2331.3309503372. The cubic root of 5435104 is about 175.8204090938.

The spelling of 5435104 in words is "five million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 97 103 136 194 206 272 388 412 544 776 824 1552 1648 1649 1751 3104 3296 3298 3502 6596 7004 9991 13192 14008 19982 26384 28016 39964 52768 56032 79928 159856 169847 319712 339694 679388 1358776 2717552 5435104