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42460320 = 2535712637
BaseRepresentation
bin1010000111111…
…0010010100000
32221220012121110
42201332102200
541332212240
64114023320
71023623010
oct241762240
987805543
1042460320
1121a71081
1212277b40
138a48666
1458d3c40
153adac80
hex287e4a0

42460320 has 96 divisors (see below), whose sum is σ = 152869248. Its totient is φ = 9704448.

The previous prime is 42460309. The next prime is 42460333. The reversal of 42460320 is 2306424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 2959 + ... + 9678.

It is an arithmetic number, because the mean of its divisors is an integer number (1592388).

Almost surely, 242460320 is an apocalyptic number.

42460320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42460320 is an abundant number, since it is smaller than the sum of its proper divisors (110408928).

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

42460320 is a wasteful number, since it uses less digits than its factorization.

42460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42460320 is about 6516.1583774491. The cubic root of 42460320 is about 348.8679615349.

Adding to 42460320 its reverse (2306424), we get a palindrome (44766744).

The spelling of 42460320 in words is "forty-two million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 12637 25274 37911 50548 63185 75822 88459 101096 126370 151644 176918 189555 202192 252740 265377 303288 353836 379110 404384 442295 505480 530754 606576 707672 758220 884590 1010960 1061508 1213152 1326885 1415344 1516440 1769180 2021920 2123016 2653770 2830688 3032880 3538360 4246032 5307540 6065760 7076720 8492064 10615080 14153440 21230160 42460320