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42050480 = 245592151
BaseRepresentation
bin1010000001101…
…0001110110000
32221010101102012
42200122032300
541231103410
64101142052
71020265103
oct240321660
987111365
1042050480
112181116a
12120ba928
138933c54
14582873a
153a59605
hex281a3b0

42050480 has 60 divisors (see below), whose sum is σ = 100111152. Its totient is φ = 16425600.

The previous prime is 42050479. The next prime is 42050483. The reversal of 42050480 is 8405024.

It is not an unprimeable number, because it can be changed into a prime (42050483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278405 + ... + 278555.

Almost surely, 242050480 is an apocalyptic number.

42050480 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 42050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055576).

42050480 is an abundant number, since it is smaller than the sum of its proper divisors (58060672).

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

42050480 is a wasteful number, since it uses less digits than its factorization.

42050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 42050480 is about 6484.6341454241. The cubic root of 42050480 is about 347.7418704986.

The spelling of 42050480 in words is "forty-two million, fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 151 236 295 302 472 590 604 755 944 1180 1208 1510 2360 2416 3020 3481 4720 6040 6962 8909 12080 13924 17405 17818 27848 34810 35636 44545 55696 69620 71272 89090 139240 142544 178180 278480 356360 525631 712720 1051262 2102524 2628155 4205048 5256310 8410096 10512620 21025240 42050480