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41992320 = 273521871
BaseRepresentation
bin1010000000110…
…0000010000000
32221000102122010
42200030002000
541222223240
64100012520
71016633406
oct240140200
987012563
1041992320
11217814a7
1212091140
138913636
145811476
153a47280
hex280c080

41992320 has 64 divisors (see below), whose sum is σ = 133856640. Its totient is φ = 11197440.

The previous prime is 41992309. The next prime is 41992331. The reversal of 41992320 is 2329914.

It is an interprime number because it is at equal distance from previous prime (41992309) and next prime (41992331).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9016 + ... + 12855.

It is an arithmetic number, because the mean of its divisors is an integer number (2091510).

Almost surely, 241992320 is an apocalyptic number.

41992320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41992320 is an abundant number, since it is smaller than the sum of its proper divisors (91864320).

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

41992320 is a wasteful number, since it uses less digits than its factorization.

41992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 41992320 is about 6480.1481464547. The cubic root of 41992320 is about 347.5814759871.

The spelling of 41992320 in words is "forty-one million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21871 43742 65613 87484 109355 131226 174968 218710 262452 328065 349936 437420 524904 656130 699872 874840 1049808 1312260 1399744 1749680 2099616 2624520 2799488 3499360 4199232 5249040 6998720 8398464 10498080 13997440 20996160 41992320