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42714080 = 2552391117
BaseRepresentation
bin1010001011110…
…0001111100000
32222101002200222
42202330033200
541413322310
64123302212
71026030563
oct242741740
988332628
1042714080
11221247a2
121237a968
138b07006
14595c4da
153b3b055
hex28bc3e0

42714080 has 48 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 16998912.

The previous prime is 42714073. The next prime is 42714083. The reversal of 42714080 is 8041724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42714083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37682 + ... + 38798.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 242714080 is an apocalyptic number.

42714080 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 42714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

42714080 is an abundant number, since it is smaller than the sum of its proper divisors (58710880).

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

42714080 is a wasteful number, since it uses less digits than its factorization.

42714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 42714080 is about 6535.6009670114. The cubic root of 42714080 is about 349.5615734846.

The spelling of 42714080 in words is "forty-two million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1117 1195 1912 2234 2390 3824 4468 4780 5585 7648 8936 9560 11170 17872 19120 22340 35744 38240 44680 89360 178720 266963 533926 1067852 1334815 2135704 2669630 4271408 5339260 8542816 10678520 21357040 42714080