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6257472 = 2631323109
BaseRepresentation
bin10111110111101101000000
3102202220122020
4113313231000
53100214342
6342041440
7104121234
oct27675500
912686566
106257472
113594371
122119280
1313b1260
14b8c5c4
158390ec
hex5f7b40

6257472 has 112 divisors (see below), whose sum is σ = 18775680. Its totient is φ = 1824768.

The previous prime is 6257431. The next prime is 6257473. The reversal of 6257472 is 2747526.

6257472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (23520) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57354 + ... + 57462.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 26257472 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 6257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387840).

6257472 is an abundant number, since it is smaller than the sum of its proper divisors (12518208).

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

6257472 is a wasteful number, since it uses less digits than its factorization.

6257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 6257472 is about 2501.4939536205. The cubic root of 6257472 is about 184.2749512545.

The spelling of 6257472 in words is "six million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 109 138 156 184 192 208 218 276 299 312 327 368 416 436 552 598 624 654 736 832 872 897 1104 1196 1248 1308 1417 1472 1744 1794 2208 2392 2496 2507 2616 2834 3488 3588 4251 4416 4784 5014 5232 5668 6976 7176 7521 8502 9568 10028 10464 11336 14352 15042 17004 19136 20056 20928 22672 28704 30084 32591 34008 40112 45344 57408 60168 65182 68016 80224 90688 97773 120336 130364 136032 160448 195546 240672 260728 272064 391092 481344 521456 782184 1042912 1564368 2085824 3128736 6257472