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41769144 = 23321921607
BaseRepresentation
bin1001111101010…
…1100010111000
32220121002111100
42133111202320
541143103034
64051131400
71015013634
oct237254270
986532440
1041769144
112163985a
1211ba3b60
138865b91
145793dc4
153a01099
hex27d58b8

41769144 has 72 divisors (see below), whose sum is σ = 119466360. Its totient is φ = 13182048.

The previous prime is 41769139. The next prime is 41769149. The reversal of 41769144 is 44196714.

It is an interprime number because it is at equal distance from previous prime (41769139) and next prime (41769149).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×417691442 = 3489322780985472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41769099 and 41769108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41769149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25189 + ... + 26795.

It is an arithmetic number, because the mean of its divisors is an integer number (1659255).

Almost surely, 241769144 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 41769144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59733180).

41769144 is an abundant number, since it is smaller than the sum of its proper divisors (77697216).

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

41769144 is a wasteful number, since it uses less digits than its factorization.

41769144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1631 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 41769144 is about 6462.9052290746. The cubic root of 41769144 is about 346.9646197459.

The spelling of 41769144 in words is "forty-one million, seven hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 1607 2166 2888 3214 3249 4332 4821 6428 6498 8664 9642 12856 12996 14463 19284 25992 28926 30533 38568 57852 61066 91599 115704 122132 183198 244264 274797 366396 549594 580127 732792 1099188 1160254 1740381 2198376 2320508 3480762 4641016 5221143 6961524 10442286 13923048 20884572 41769144