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2557332 = 2236877
BaseRepresentation
bin1001110000010110010100
311210221000000
421300112110
51123313312
6130451300
730510531
oct11602624
94727000
102557332
1114973a8
12a33b30
136b701b
144a7d88
15357adc
hex270594

2557332 has 42 divisors (see below), whose sum is σ = 6717578. Its totient is φ = 851472.

The previous prime is 2557297. The next prime is 2557333. The reversal of 2557332 is 2337552.

It can be written as a sum of positive squares in only one way, i.e., 2452356 + 104976 = 1566^2 + 324^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2557296 and 2557305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557333) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2478 + ... + 3354.

22557332 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 2557332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358789).

2557332 is an abundant number, since it is smaller than the sum of its proper divisors (4160246).

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

2557332 is an equidigital number, since it uses as much as digits as its factorization.

2557332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 2557332 is about 1599.1660326558. The cubic root of 2557332 is about 136.7505361337.

The spelling of 2557332 in words is "two million, five hundred fifty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 877 972 1458 1754 2631 2916 3508 5262 7893 10524 15786 23679 31572 47358 71037 94716 142074 213111 284148 426222 639333 852444 1278666 2557332