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42017280 = 29355471
BaseRepresentation
bin1010000001001…
…0001000000000
32221001200212120
42200102020000
541224023110
64100324240
71020066234
oct240221000
987050776
1042017280
1121799228
12120a3680
138921ac6
14581a5c4
153a4e870
hex2812200

42017280 has 80 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 11202560.

The previous prime is 42017279. The next prime is 42017281. The reversal of 42017280 is 8271024.

It is an interprime number because it is at equal distance from previous prime (42017279) and next prime (42017281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42017280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42017281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4945 + ... + 10415.

Almost surely, 242017280 is an apocalyptic number.

42017280 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 42017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

42017280 is an abundant number, since it is smaller than the sum of its proper divisors (92331264).

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

42017280 is an equidigital number, since it uses as much as digits as its factorization.

42017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 42017280 is about 6482.0737422526. The cubic root of 42017280 is about 347.6503291749.

The spelling of 42017280 in words is "forty-two million, seventeen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5471 7680 10942 16413 21884 27355 32826 43768 54710 65652 82065 87536 109420 131304 164130 175072 218840 262608 328260 350144 437680 525216 656520 700288 875360 1050432 1313040 1400576 1750720 2100864 2626080 2801152 3501440 4201728 5252160 7002880 8403456 10504320 14005760 21008640 42017280