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2042496 = 2734197
BaseRepresentation
bin111110010101010000000
310211202210000
413302222000
51010324441
6111440000
723234541
oct7625200
93752700
102042496
111175615
12826000
135668a1
143b24c8
152a52b6
hex1f2a80

2042496 has 80 divisors (see below), whose sum is σ = 6109290. Its totient is φ = 677376.

The previous prime is 2042489. The next prime is 2042531. The reversal of 2042496 is 6942402.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 876096 = 1080^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10270 + ... + 10466.

22042496 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 2042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054645).

2042496 is an abundant number, since it is smaller than the sum of its proper divisors (4066794).

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

2042496 is an equidigital number, since it uses as much as digits as its factorization.

2042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2042496 is about 1429.1591933721. The cubic root of 2042496 is about 126.8782183496.

Adding to 2042496 its reverse (6942402), we get a palindrome (8984898).

The spelling of 2042496 in words is "two million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 197 216 288 324 384 394 432 576 591 648 788 864 1152 1182 1296 1576 1728 1773 2364 2592 3152 3456 3546 4728 5184 5319 6304 7092 9456 10368 10638 12608 14184 15957 18912 21276 25216 28368 31914 37824 42552 56736 63828 75648 85104 113472 127656 170208 226944 255312 340416 510624 680832 1021248 2042496