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5528376 = 2332721567
BaseRepresentation
bin10101000101101100111000
3101101212111200
4111011230320
52403402001
6314254200
764663500
oct25055470
911355450
105528376
113136607
121a27360
1311b7439
14a3ca00
15743086
hex545b38

5528376 has 72 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1578528.

The previous prime is 5528287. The next prime is 5528387. The reversal of 5528376 is 6738255.

It is a tau number, because it is divible by the number of its divisors (72).

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 5528376.

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 17 ways as a sum of consecutive naturals, for example, 2745 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 25528376 is an apocalyptic number.

5528376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5528376 is the 1176-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5528376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

5528376 is an abundant number, since it is smaller than the sum of its proper divisors (11899944).

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

5528376 is a wasteful number, since it uses less digits than its factorization.

5528376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1579 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5528376 is about 2351.2498803828. The cubic root of 5528376 is about 176.8204633603.

The spelling of 5528376 in words is "five million, five hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1567 1764 3134 3528 4701 6268 9402 10969 12536 14103 18804 21938 28206 32907 37608 43876 56412 65814 76783 87752 98721 112824 131628 153566 197442 230349 263256 307132 394884 460698 614264 691047 789768 921396 1382094 1842792 2764188 5528376