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41388480 = 2632572053
BaseRepresentation
bin1001110111100…
…0100111000000
32212212202022200
42131320213000
541043412410
64035033200
71011540060
oct235704700
985782280
1041388480
11213a9861
1211a3b800
138761833
1456d53a0
1539783c0
hex27789c0

41388480 has 168 divisors, whose sum is σ = 162775392. Its totient is φ = 9455616.

The previous prime is 41388469. The next prime is 41388493. The reversal of 41388480 is 8488314.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19134 + ... + 21186.

Almost surely, 241388480 is an apocalyptic number.

41388480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81387696).

41388480 is an abundant number, since it is smaller than the sum of its proper divisors (121386912).

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

41388480 is a wasteful number, since it uses less digits than its factorization.

41388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 41388480 is about 6433.3879099585. The cubic root of 41388480 is about 345.9073782842.

It can be divided in two parts, 41 and 388480, that added together give a triangular number (388521 = T881).

The spelling of 41388480 in words is "forty-one million, three hundred eighty-eight thousand, four hundred eighty".