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42050680 = 2357179839
BaseRepresentation
bin1010000001101…
…0010001111000
32221010101200121
42200122101320
541231110210
64101143024
71020265510
oct240322170
987111617
1042050680
1121811331
12120baa74
138934079
145828840
153a596da
hex281a478

42050680 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 14319744.

The previous prime is 42050669. The next prime is 42050699. The reversal of 42050680 is 8605024.

It is a congruent number.

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, 49701 + ... + 50539.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 242050680 is an apocalyptic number.

42050680 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 42050680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42050680 is an abundant number, since it is smaller than the sum of its proper divisors (66813320).

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

42050680 is a wasteful number, since it uses less digits than its factorization.

42050680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 42050680 is about 6484.6495664762. The cubic root of 42050680 is about 347.7424218064.

The spelling of 42050680 in words is "forty-two million, fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 839 895 1253 1432 1678 1790 2506 3356 3580 4195 5012 5873 6265 6712 7160 8390 10024 11746 12530 16780 23492 25060 29365 33560 46984 50120 58730 117460 150181 234920 300362 600724 750905 1051267 1201448 1501810 2102534 3003620 4205068 5256335 6007240 8410136 10512670 21025340 42050680