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2492028 = 22327112931
BaseRepresentation
bin1001100000011001111100
311200121102100
421200121330
51114221103
6125225100
730116250
oct11403174
94617370
102492028
111452330
12a02190
13693396
1448c260
153435a3
hex26067c

2492028 has 144 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 604800.

The previous prime is 2492023. The next prime is 2492051. The reversal of 2492028 is 8202942.

2492028 is nontrivially palindromic in base 13.

2492028 is a nontrivial binomial coefficient, being equal to C(2233, 2).

It is a junction number, because it is equal to n+sod(n) for n = 2491992 and 2492010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80373 + ... + 80403.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

22492028 is an apocalyptic number.

2492028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2492028 is the 2232-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2492028 is an abundant number, since it is smaller than the sum of its proper divisors (5894532).

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

2492028 is a wasteful number, since it uses less digits than its factorization.

2492028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2492028 is about 1578.6158494073. The cubic root of 2492028 is about 135.5764649681.

The spelling of 2492028 in words is "two million, four hundred ninety-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 31 33 36 42 44 58 62 63 66 77 84 87 93 99 116 124 126 132 154 174 186 198 203 217 231 252 261 279 308 319 341 348 372 396 406 434 462 522 558 609 638 651 682 693 812 868 899 924 957 1023 1044 1116 1218 1276 1302 1364 1386 1798 1827 1914 1953 2046 2233 2387 2436 2604 2697 2772 2871 3069 3596 3654 3828 3906 4092 4466 4774 5394 5742 6138 6293 6699 7161 7308 7812 8091 8932 9548 9889 10788 11484 12276 12586 13398 14322 16182 18879 19778 20097 21483 25172 26796 28644 29667 32364 37758 39556 40194 42966 56637 59334 69223 75516 80388 85932 89001 113274 118668 138446 178002 207669 226548 276892 356004 415338 623007 830676 1246014 2492028