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2492928 = 2932541
BaseRepresentation
bin1001100000101000000000
311200122122200
421200220000
51114233203
6125233200
730122004
oct11405000
94618580
102492928
111452a79
12a02800
13693909
1448c704
153439a3
hex260a00

2492928 has 60 divisors (see below), whose sum is σ = 7208058. Its totient is φ = 829440.

The previous prime is 2492899. The next prime is 2492951. The reversal of 2492928 is 8292942.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 278784 = 1488^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2492892 and 2492901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4338 + ... + 4878.

22492928 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 2492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604029).

2492928 is an abundant number, since it is smaller than the sum of its proper divisors (4715130).

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

2492928 is an equidigital number, since it uses as much as digits as its factorization.

2492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2492928 is about 1578.9008835263. The cubic root of 2492928 is about 135.5927842246.

The spelling of 2492928 in words is "two million, four hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 541 576 768 1082 1152 1536 1623 2164 2304 3246 4328 4608 4869 6492 8656 9738 12984 17312 19476 25968 34624 38952 51936 69248 77904 103872 138496 155808 207744 276992 311616 415488 623232 830976 1246464 2492928