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6997472 = 251719677
BaseRepresentation
bin11010101100010111100000
3111011111201122
4122230113200
53242404342
6405551412
7113322536
oct32542740
914144648
106997472
113a4a339
122415568
1315b0021
14d02156
159334d2
hex6ac5e0

6997472 has 48 divisors (see below), whose sum is σ = 15377040. Its totient is φ = 3115008.

The previous prime is 6997469. The next prime is 6997499. The reversal of 6997472 is 2747996.

It is a super-2 number, since 2×69974722 = 97929228781568, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9998 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (320355).

Almost surely, 26997472 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 6997472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688520).

6997472 is an abundant number, since it is smaller than the sum of its proper divisors (8379568).

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

6997472 is a wasteful number, since it uses less digits than its factorization.

6997472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 6997472 is about 2645.2735208292. The cubic root of 6997472 is about 191.2700874568.

The spelling of 6997472 in words is "six million, nine hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 677 1292 1354 2584 2708 5168 5416 10336 10832 11509 12863 21664 23018 25726 46036 51452 92072 102904 184144 205808 218671 368288 411616 437342 874684 1749368 3498736 6997472