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5097456 = 2432713389
BaseRepresentation
bin10011011100011111110000
3100120222101200
4103130133300
52301104311
6301131200
761220250
oct23343760
910528350
105097456
112971881
121859b00
131096260
14969960
156aa556
hex4dc7f0

5097456 has 120 divisors (see below), whose sum is σ = 17603040. Its totient is φ = 1340928.

The previous prime is 5097431. The next prime is 5097457. The reversal of 5097456 is 6547905.

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

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 5097456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5097457) 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 23 ways as a sum of consecutive naturals, for example, 12910 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (146692).

Almost surely, 25097456 is an apocalyptic number.

5097456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5097456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801520).

5097456 is an abundant number, since it is smaller than the sum of its proper divisors (12505584).

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

5097456 is a wasteful number, since it uses less digits than its factorization.

5097456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5097456 is about 2257.7546368018. The cubic root of 5097456 is about 172.1014364707.

It can be divided in two parts, 5097 and 456, that multiplied together give a palindrome (2324232).

The spelling of 5097456 in words is "five million, ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 389 468 504 546 624 728 778 819 936 1008 1092 1167 1456 1556 1638 1872 2184 2334 2723 3112 3276 3501 4368 4668 5057 5446 6224 6552 7002 8169 9336 10114 10892 13104 14004 15171 16338 18672 20228 21784 24507 28008 30342 32676 35399 40456 43568 45513 49014 56016 60684 65352 70798 80912 91026 98028 106197 121368 130704 141596 182052 196056 212394 242736 283192 318591 364104 392112 424788 566384 637182 728208 849576 1274364 1699152 2548728 5097456