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42193520 = 245527419
BaseRepresentation
bin1010000011110…
…1001001110000
32221101122121222
42200331021300
541300143040
64104204212
71021432115
oct240751160
987348558
1042193520
11218a9686
1212169668
1389840a5
14586490c
153a86bb5
hex283d270

42193520 has 20 divisors (see below), whose sum is σ = 98100120. Its totient is φ = 16877376.

The previous prime is 42193519. The next prime is 42193537. The reversal of 42193520 is 2539124.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 42193520.

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 3 ways as a sum of consecutive naturals, for example, 263630 + ... + 263789.

It is an arithmetic number, because the mean of its divisors is an integer number (4905006).

Almost surely, 242193520 is an apocalyptic number.

42193520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42193520 is an abundant number, since it is smaller than the sum of its proper divisors (55906600).

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

42193520 is a wasteful number, since it uses less digits than its factorization.

42193520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527432 (or 527426 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 42193520 is about 6495.6539316685. The cubic root of 42193520 is about 348.1357201718.

The spelling of 42193520 in words is "forty-two million, one hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 527419 1054838 2109676 2637095 4219352 5274190 8438704 10548380 21096760 42193520