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41923332 = 2236111307
BaseRepresentation
bin1001111111101…
…1001100000100
32220212221000000
42133323030010
541213021312
64054321300
71016225313
oct237731404
986787000
1041923332
1121734690
1212059230
1388bb109
1457d427a
153a31adc
hex27fb304

41923332 has 84 divisors (see below), whose sum is σ = 120090096. Its totient is φ = 12694320.

The previous prime is 41923313. The next prime is 41923333. The reversal of 41923332 is 23332914.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41923296 and 41923305.

It is not an unprimeable number, because it can be changed into a prime (41923333) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31423 + ... + 32729.

It is an arithmetic number, because the mean of its divisors is an integer number (1429644).

Almost surely, 241923332 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 41923332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60045048).

41923332 is an abundant number, since it is smaller than the sum of its proper divisors (78166764).

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

41923332 is a wasteful number, since it uses less digits than its factorization.

41923332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 41923332 is about 6474.8229319418. The cubic root of 41923332 is about 347.3910277153.

The spelling of 41923332 in words is "forty-one million, nine hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1307 1458 1782 2614 2673 2916 3564 3921 5228 5346 7842 8019 10692 11763 14377 15684 16038 23526 28754 32076 35289 43131 47052 57508 70578 86262 105867 129393 141156 172524 211734 258786 317601 388179 423468 517572 635202 776358 952803 1164537 1270404 1552716 1905606 2329074 3493611 3811212 4658148 6987222 10480833 13974444 20961666 41923332