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2557324 = 2271119223
BaseRepresentation
bin1001110000010110001100
311210220222201
421300112030
51123313244
6130451244
730510520
oct11602614
94726881
102557324
1114973a0
12a33b24
136b7013
144a7d80
15357ad4
hex27058c

2557324 has 72 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 902880.

The previous prime is 2557297. The next prime is 2557333. The reversal of 2557324 is 4237552.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 29 + 57 + 59 + 7 + 35 + 219 + 45 .

It is a junction number, because it is equal to n+sod(n) for n = 2557292 and 2557301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111177 + ... + 111199.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

22557324 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 2557324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2557324 is an abundant number, since it is smaller than the sum of its proper divisors (3587444).

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

2557324 is a wasteful number, since it uses less digits than its factorization.

2557324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 8400, while the sum is 28.

The square root of 2557324 is about 1599.1635313501. The cubic root of 2557324 is about 136.7503935365.

The spelling of 2557324 in words is "two million, five hundred fifty-seven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 23 28 38 44 46 76 77 92 133 154 161 209 253 266 308 322 361 418 437 506 532 644 722 836 874 1012 1444 1463 1748 1771 2527 2926 3059 3542 3971 4807 5054 5852 6118 7084 7942 8303 9614 10108 12236 15884 16606 19228 27797 33212 33649 55594 58121 67298 91333 111188 116242 134596 182666 232484 365332 639331 1278662 2557324