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41538144 = 2531273407
BaseRepresentation
bin1001111001110…
…1001001100000
32220011100121210
42132131021200
541113210034
64042150120
71013032314
oct236351140
986140553
1041538144
11214a124a
1211ab2340
1387b49ab
145733b44
1539a78e9
hex279d260

41538144 has 48 divisors (see below), whose sum is σ = 109928448. Its totient is φ = 13732992.

The previous prime is 41538143. The next prime is 41538151. The reversal of 41538144 is 44183514.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41538143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10489 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (2290176).

Almost surely, 241538144 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 41538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54964224).

41538144 is an abundant number, since it is smaller than the sum of its proper divisors (68390304).

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

41538144 is a wasteful number, since it uses less digits than its factorization.

41538144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3539 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 41538144 is about 6445.0092319561. The cubic root of 41538144 is about 346.3238194904.

The spelling of 41538144 in words is "forty-one million, five hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3407 4064 6096 6814 10221 12192 13628 20442 27256 40884 54512 81768 109024 163536 327072 432689 865378 1298067 1730756 2596134 3461512 5192268 6923024 10384536 13846048 20769072 41538144