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2492532 = 223472157
BaseRepresentation
bin1001100000100001110100
311200122010000
421200201310
51114230112
6125231300
730120600
oct11404164
94618100
102492532
111452749
12a02530
13693693
1448c500
153437dc
hex260874

2492532 has 90 divisors (see below), whose sum is σ = 7628082. Its totient is φ = 707616.

The previous prime is 2492527. The next prime is 2492549. The reversal of 2492532 is 2352942.

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 571536 = 1386^2 + 756^2 .

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 = 2492496 and 2492505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15798 + ... + 15954.

22492532 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 2492532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814041).

2492532 is an abundant number, since it is smaller than the sum of its proper divisors (5135550).

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

2492532 is a wasteful number, since it uses less digits than its factorization.

2492532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2492532 is about 1578.7754748539. The cubic root of 2492532 is about 135.5856042357.

The spelling of 2492532 in words is "two million, four hundred ninety-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 157 162 189 196 252 294 314 324 378 441 471 567 588 628 756 882 942 1099 1134 1323 1413 1764 1884 2198 2268 2646 2826 3297 3969 4239 4396 5292 5652 6594 7693 7938 8478 9891 12717 13188 15386 15876 16956 19782 23079 25434 29673 30772 39564 46158 50868 59346 69237 89019 92316 118692 138474 178038 207711 276948 356076 415422 623133 830844 1246266 2492532