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5267376 = 243389137
BaseRepresentation
bin10100000101111110110000
3100220121111000
4110011332300
52322024001
6304522000
762525532
oct24057660
910817430
105267376
112a78504
121920300
1311256ba
149b1852
156e0a86
hex505fb0

5267376 has 80 divisors (see below), whose sum is σ = 15400800. Its totient is φ = 1723392.

The previous prime is 5267369. The next prime is 5267377. The reversal of 5267376 is 6737625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5267376.

It is not an unprimeable number, because it can be changed into a prime (5267377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38380 + ... + 38516.

It is an arithmetic number, because the mean of its divisors is an integer number (192510).

Almost surely, 25267376 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 5267376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700400).

5267376 is an abundant number, since it is smaller than the sum of its proper divisors (10133424).

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

5267376 is a wasteful number, since it uses less digits than its factorization.

5267376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 5267376 is about 2295.0764693143. The cubic root of 5267376 is about 173.9928653436.

The spelling of 5267376 in words is "five million, two hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 137 144 178 216 267 274 356 411 432 534 548 712 801 822 1068 1096 1233 1424 1602 1644 2136 2192 2403 2466 3204 3288 3699 4272 4806 4932 6408 6576 7398 9612 9864 12193 12816 14796 19224 19728 24386 29592 36579 38448 48772 59184 73158 97544 109737 146316 195088 219474 292632 329211 438948 585264 658422 877896 1316844 1755792 2633688 5267376