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41444496 = 2432449641
BaseRepresentation
bin1001111000011…
…0010010010000
32212222121011100
42132012102100
541102210441
64040144400
71012162302
oct236062220
985877140
1041444496
1121437955
1211a68100
138781192
14570b972
153989cb6
hex2786490

41444496 has 60 divisors (see below), whose sum is σ = 116426700. Its totient is φ = 13762560.

The previous prime is 41444483. The next prime is 41444497. The reversal of 41444496 is 69444414.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 9363600 = 5664^2 + 3060^2 .

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 self number, because there is not a number n which added to its sum of digits gives 41444496.

It is not an unprimeable number, because it can be changed into a prime (41444497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64336 + ... + 64976.

It is an arithmetic number, because the mean of its divisors is an integer number (1940445).

Almost surely, 241444496 is an apocalyptic number.

It is an amenable number.

41444496 is an abundant number, since it is smaller than the sum of its proper divisors (74982204).

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

41444496 is a wasteful number, since it uses less digits than its factorization.

41444496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1095 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 41444496 is about 6437.7399761096. The cubic root of 41444496 is about 346.0633605996.

The spelling of 41444496 in words is "forty-one million, four hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 449 641 898 1282 1347 1796 1923 2564 2694 3592 3846 4041 5128 5388 5769 7184 7692 8082 10256 10776 11538 15384 16164 21552 23076 30768 32328 46152 64656 92304 287809 575618 863427 1151236 1726854 2302472 2590281 3453708 4604944 5180562 6907416 10361124 13814832 20722248 41444496