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41345832 = 23311199787
BaseRepresentation
bin1001110110111…
…0001100101000
32212210120211010
42131232030220
541041031312
64034103520
71011301533
oct235561450
985716733
1041345832
112137a810
1211a1aba0
1387482b8
1456c3a1a
15396a93c
hex276e328

41345832 has 64 divisors (see below), whose sum is σ = 113472000. Its totient is φ = 12450240.

The previous prime is 41345809. The next prime is 41345849. The reversal of 41345832 is 23854314.

41345832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41345832.

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 15 ways as a sum of consecutive naturals, for example, 52143 + ... + 52929.

It is an arithmetic number, because the mean of its divisors is an integer number (1773000).

Almost surely, 241345832 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 41345832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56736000).

41345832 is an abundant number, since it is smaller than the sum of its proper divisors (72126168).

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

41345832 is a wasteful number, since it uses less digits than its factorization.

41345832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 41345832 is about 6430.0724723754. The cubic root of 41345832 is about 345.7885261476.

The spelling of 41345832 in words is "forty-one million, three hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 787 796 1194 1574 1592 2189 2361 2388 3148 4378 4722 4776 6296 6567 8657 8756 9444 13134 17314 17512 18888 25971 26268 34628 51942 52536 69256 103884 156613 207768 313226 469839 626452 939678 1252904 1722743 1879356 3445486 3758712 5168229 6890972 10336458 13781944 20672916 41345832