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41028480 = 2732517419
BaseRepresentation
bin1001110010000…
…0101110000000
32212012110111100
42130200232000
541000402410
64023214400
71005510363
oct234405600
985173440
1041028480
1121183339
12118a7400
138666a0c
1456400da
1539068c0
hex2720b80

41028480 has 192 divisors, whose sum is σ = 150368400. Its totient is φ = 10272768.

The previous prime is 41028479. The next prime is 41028499. The reversal of 41028480 is 8482014.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×410284802 = 3366672342220800, which contains 22 as substring.

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, 97711 + ... + 98129.

Almost surely, 241028480 is an apocalyptic number.

41028480 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 41028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

41028480 is an abundant number, since it is smaller than the sum of its proper divisors (109339920).

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

41028480 is a wasteful number, since it uses less digits than its factorization.

41028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 41028480 is about 6405.3477657345. The cubic root of 41028480 is about 344.9015472065.

The spelling of 41028480 in words is "forty-one million, twenty-eight thousand, four hundred eighty".