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42808350 = 23521329757
BaseRepresentation
bin1010001101001…
…1010000011110
32222112220000110
42203103100132
541424331400
64125310450
71026602454
oct243232036
988486013
1042808350
1122189602
1212405426
138b3abb0
1459849d4
153b58e50
hex28d341e

42808350 has 96 divisors (see below), whose sum is σ = 118429920. Its totient is φ = 10160640.

The previous prime is 42808327. The next prime is 42808351. The reversal of 42808350 is 5380824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42808351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56172 + ... + 56928.

It is an arithmetic number, because the mean of its divisors is an integer number (1233645).

Almost surely, 242808350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42808350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59214960).

42808350 is an abundant number, since it is smaller than the sum of its proper divisors (75621570).

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

42808350 is a wasteful number, since it uses less digits than its factorization.

42808350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42808350 is about 6542.8090297670. The cubic root of 42808350 is about 349.8185453984.

The spelling of 42808350 in words is "forty-two million, eight hundred eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 29 30 39 50 58 65 75 78 87 130 145 150 174 195 290 325 377 390 435 650 725 754 757 870 975 1131 1450 1514 1885 1950 2175 2262 2271 3770 3785 4350 4542 5655 7570 9425 9841 11310 11355 18850 18925 19682 21953 22710 28275 29523 37850 43906 49205 56550 56775 59046 65859 98410 109765 113550 131718 147615 219530 246025 285389 295230 329295 492050 548825 570778 658590 738075 856167 1097650 1426945 1476150 1646475 1712334 2853890 3292950 4280835 7134725 8561670 14269450 21404175 42808350