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41076984 = 23313312137
BaseRepresentation
bin1001110010110…
…0100011111000
32212021221000210
42130230203320
541003430414
64024231120
71006101654
oct234544370
985257023
1041076984
1121206823
121190b4a0
138682b10
145653a64
153915e59
hex272c8f8

41076984 has 96 divisors (see below), whose sum is σ = 115108560. Its totient is φ = 12142080.

The previous prime is 41076967. The next prime is 41076991. The reversal of 41076984 is 48967014.

It is a happy number.

41076984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410769842 = 3374637229072512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299764 + ... + 299900.

Almost surely, 241076984 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 41076984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57554280).

41076984 is an abundant number, since it is smaller than the sum of its proper divisors (74031576).

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

41076984 is a wasteful number, since it uses less digits than its factorization.

41076984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 41076984 is about 6409.1328586635. The cubic root of 41076984 is about 345.0374082520.

The spelling of 41076984 in words is "forty-one million, seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 137 156 186 248 274 312 372 403 411 548 744 806 822 961 1096 1209 1612 1644 1781 1922 2418 2883 3224 3288 3562 3844 4247 4836 5343 5766 7124 7688 8494 9672 10686 11532 12493 12741 14248 16988 21372 23064 24986 25482 33976 37479 42744 49972 50964 55211 74958 99944 101928 110422 131657 149916 165633 220844 263314 299832 331266 394971 441688 526628 662532 789942 1053256 1325064 1579884 1711541 3159768 3423082 5134623 6846164 10269246 13692328 20538492 41076984