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5297472 = 263217541
BaseRepresentation
bin10100001101010101000000
3100222010202200
4110031111000
52324004342
6305313200
763012345
oct24152500
910863680
105297472
112a99084
121935800
1311362cb
149bc7cc
156e994c
hex50d540

5297472 has 84 divisors (see below), whose sum is σ = 16107156. Its totient is φ = 1658880.

The previous prime is 5297449. The next prime is 5297473. The reversal of 5297472 is 2747925.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 2143296 = 1776^2 + 1464^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 52 + 218 + 93 + 73 + 47 + 77 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5297473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9522 + ... + 10062.

Almost surely, 25297472 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 5297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053578).

5297472 is an abundant number, since it is smaller than the sum of its proper divisors (10809684).

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

5297472 is a wasteful number, since it uses less digits than its factorization.

5297472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 5297472 is about 2301.6237746426. The cubic root of 5297472 is about 174.3236149514.

It can be divided in two parts, 529 and 7472, that added together give a triangular number (8001 = T126).

The spelling of 5297472 in words is "five million, two hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 541 544 576 612 816 1082 1088 1224 1623 1632 2164 2448 3246 3264 4328 4869 4896 6492 8656 9197 9738 9792 12984 17312 18394 19476 25968 27591 34624 36788 38952 51936 55182 73576 77904 82773 103872 110364 147152 155808 165546 220728 294304 311616 331092 441456 588608 662184 882912 1324368 1765824 2648736 5297472