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42383520 = 253359811
BaseRepresentation
bin1010000110101…
…1100010100000
32221202022021000
42201223202200
541322233040
64112232000
71023153054
oct241534240
987668230
1042383520
1121a19403
121223b600
138a1c70a
1458b3c64
153ac3130
hex286b8a0

42383520 has 96 divisors (see below), whose sum is σ = 148357440. Its totient is φ = 11301120.

The previous prime is 42383513. The next prime is 42383531. The reversal of 42383520 is 2538324.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 9225.

It is an arithmetic number, because the mean of its divisors is an integer number (1545390).

Almost surely, 242383520 is an apocalyptic number.

42383520 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 42383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74178720).

42383520 is an abundant number, since it is smaller than the sum of its proper divisors (105973920).

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

42383520 is a wasteful number, since it uses less digits than its factorization.

42383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42383520 is about 6510.2626675120. The cubic root of 42383520 is about 348.6574965670.

The spelling of 42383520 in words is "forty-two million, three hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9811 19622 29433 39244 49055 58866 78488 88299 98110 117732 147165 156976 176598 196220 235464 264897 294330 313952 353196 392440 441495 470928 529794 588660 706392 784880 882990 941856 1059588 1177320 1324485 1412784 1569760 1765980 2119176 2354640 2648970 2825568 3531960 4238352 4709280 5297940 7063920 8476704 10595880 14127840 21191760 42383520