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41993136 = 2432291619
BaseRepresentation
bin1010000000110…
…0001110110000
32221000110202100
42200030032300
541222240021
64100020400
71016635653
oct240141660
987013670
1041993136
1121782079
1212091700
138913b13
14581189a
153a47626
hex280c3b0

41993136 has 30 divisors (see below), whose sum is σ = 117522860. Its totient is φ = 13997664.

The previous prime is 41993129. The next prime is 41993141. The reversal of 41993136 is 63139914.

It is a super-2 number, since 2×419931362 = 3526846942228992, which contains 22 as substring.

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 41993136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145666 + ... + 145953.

Almost surely, 241993136 is an apocalyptic number.

It is an amenable number.

41993136 is an abundant number, since it is smaller than the sum of its proper divisors (75529724).

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

41993136 is a wasteful number, since it uses less digits than its factorization.

41993136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291633 (or 291624 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 41993136 is about 6480.2111076723. The cubic root of 41993136 is about 347.5837273880.

The spelling of 41993136 in words is "forty-one million, nine hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 291619 583238 874857 1166476 1749714 2332952 2624571 3499428 4665904 5249142 6998856 10498284 13997712 20996568 41993136