Search a number
-
+
2496032 = 257111013
BaseRepresentation
bin1001100001011000100000
311200210220122
421201120200
51114333112
6125255412
730134030
oct11413040
94623818
102496032
111455340
12a04568
13695156
1448d8c0
15344872
hex261620

2496032 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 971520.

The previous prime is 2496031. The next prime is 2496041. The reversal of 2496032 is 2306942.

It is a junction number, because it is equal to n+sod(n) for n = 2495992 and 2496010.

It is not an unprimeable number, because it can be changed into a prime (2496031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1958 + ... + 2970.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22496032 is an apocalyptic number.

2496032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2496032 is an abundant number, since it is smaller than the sum of its proper divisors (3636640).

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

2496032 is a wasteful number, since it uses less digits than its factorization.

2496032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2496032 is about 1579.8835400117. The cubic root of 2496032 is about 135.6490374124.

The spelling of 2496032 in words is "two million, four hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1013 1232 2026 2464 4052 7091 8104 11143 14182 16208 22286 28364 32416 44572 56728 78001 89144 113456 156002 178288 226912 312004 356576 624008 1248016 2496032