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5273604 = 22327171231
BaseRepresentation
bin10100000111100000000100
3100220221000200
4110013200010
52322223404
6305010500
762552640
oct24074004
910827020
105273604
112a82156
121923a30
13112849b
149b3c20
156e2839
hex507804

5273604 has 72 divisors (see below), whose sum is σ = 16144128. Its totient is φ = 1416960.

The previous prime is 5273603. The next prime is 5273617. The reversal of 5273604 is 4063725.

It is a happy number.

5273604 is a `hidden beast` number, since 52 + 7 + 3 + 604 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273603) by changing a digit.

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, 3669 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (224224).

Almost surely, 25273604 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 5273604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064).

5273604 is an abundant number, since it is smaller than the sum of its proper divisors (10870524).

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

5273604 is a wasteful number, since it uses less digits than its factorization.

5273604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5273604 is about 2296.4328860213. The cubic root of 5273604 is about 174.0614131216.

The spelling of 5273604 in words is "five million, two hundred seventy-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1231 1428 2142 2462 3693 4284 4924 7386 8617 11079 14772 17234 20927 22158 25851 34468 41854 44316 51702 62781 77553 83708 103404 125562 146489 155106 188343 251124 292978 310212 376686 439467 585956 753372 878934 1318401 1757868 2636802 5273604