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2493936 = 243323251
BaseRepresentation
bin1001100000110111110000
311200201001000
421200313300
51114301221
6125242000
730124644
oct11406760
94621030
102493936
111453805
12a03300
13694203
1448cc24
15343e26
hex260df0

2493936 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 792000.

The previous prime is 2493929. The next prime is 2493937. The reversal of 2493936 is 6393942.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 2493936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9811 + ... + 10061.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22493936 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 2493936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2493936 is an abundant number, since it is smaller than the sum of its proper divisors (5005584).

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

2493936 is a wasteful number, since it uses less digits than its factorization.

2493936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 2493936 is about 1579.2200606629. The cubic root of 2493936 is about 135.6110571295.

The spelling of 2493936 in words is "two million, four hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 251 276 368 414 432 502 552 621 753 828 1004 1104 1242 1506 1656 2008 2259 2484 3012 3312 4016 4518 4968 5773 6024 6777 9036 9936 11546 12048 13554 17319 18072 23092 27108 34638 36144 46184 51957 54216 69276 92368 103914 108432 138552 155871 207828 277104 311742 415656 623484 831312 1246968 2493936