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42839520 = 2535312879
BaseRepresentation
bin1010001101101…
…0110111100000
32222121110202220
42203122313200
541431331040
64130111040
71030062363
oct243326740
988543686
1042839520
11221aaa69
121241b480
138b4c139
1459920da
153b632d0
hex28dade0

42839520 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 11051520.

The previous prime is 42839479. The next prime is 42839557. The reversal of 42839520 is 2593824.

It is a happy number.

42839520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13441 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 242839520 is an apocalyptic number.

42839520 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 42839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

42839520 is an abundant number, since it is smaller than the sum of its proper divisors (96506400).

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

42839520 is a wasteful number, since it uses less digits than its factorization.

42839520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 42839520 is about 6545.1906007388. The cubic root of 42839520 is about 349.9034291392.

The spelling of 42839520 in words is "forty-two million, eight hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2879 2976 3720 4960 5758 7440 8637 11516 14395 14880 17274 23032 28790 34548 43185 46064 57580 69096 86370 89249 92128 115160 138192 172740 178498 230320 267747 276384 345480 356996 446245 460640 535494 690960 713992 892490 1070988 1338735 1381920 1427984 1784980 2141976 2677470 2855968 3569960 4283952 5354940 7139920 8567904 10709880 14279840 21419760 42839520