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42859520 = 210511761
BaseRepresentation
bin1010001101111…
…1110000000000
32222122111012122
42203133300000
541433001040
64130343412
71030204604
oct243376000
988574178
1042859520
1122213aa0
121242ab68
138b58282
145999504
153b691b5
hex28dfc00

42859520 has 88 divisors (see below), whose sum is σ = 112306608. Its totient is φ = 15564800.

The previous prime is 42859513. The next prime is 42859529. The reversal of 42859520 is 2595824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42859529) by changing a digit.

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, 55940 + ... + 56700.

Almost surely, 242859520 is an apocalyptic number.

42859520 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 42859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56153304).

42859520 is an abundant number, since it is smaller than the sum of its proper divisors (69447088).

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

42859520 is a wasteful number, since it uses less digits than its factorization.

42859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 42859520 is about 6546.7182618469. The cubic root of 42859520 is about 349.9578724806.

The spelling of 42859520 in words is "forty-two million, eight hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 761 880 1024 1280 1408 1522 1760 2560 2816 3044 3520 3805 5120 5632 6088 7040 7610 8371 11264 12176 14080 15220 16742 24352 28160 30440 33484 41855 48704 56320 60880 66968 83710 97408 121760 133936 167420 194816 243520 267872 334840 389632 487040 535744 669680 779264 974080 1071488 1339360 1948160 2142976 2678720 3896320 4285952 5357440 8571904 10714880 21429760 42859520