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42146784 = 253348781
BaseRepresentation
bin1010000011000…
…1101111100000
32221022021112000
42200301233200
541242144114
64103204000
71021145631
oct240615740
987267460
1042146784
1121877559
1212146600
138968a34
145851888
153a77e09
hex2831be0

42146784 has 48 divisors (see below), whose sum is σ = 122930640. Its totient is φ = 14048640.

The previous prime is 42146759. The next prime is 42146801. The reversal of 42146784 is 48764124.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23527 + ... + 25254.

It is an arithmetic number, because the mean of its divisors is an integer number (2561055).

Almost surely, 242146784 is an apocalyptic number.

It is an amenable number.

42146784 is an abundant number, since it is smaller than the sum of its proper divisors (80783856).

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

42146784 is a wasteful number, since it uses less digits than its factorization.

42146784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48800 (or 48786 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42146784 is about 6492.0554526282. The cubic root of 42146784 is about 348.0071342176.

The spelling of 42146784 in words is "forty-two million, one hundred forty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 48781 97562 146343 195124 292686 390248 439029 585372 780496 878058 1170744 1317087 1560992 1756116 2341488 2634174 3512232 4682976 5268348 7024464 10536696 14048928 21073392 42146784