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42508840 = 23511175683
BaseRepresentation
bin1010001000101…
…0001000101000
32221222200011111
42202022020220
541340240330
64115040104
71024214323
oct242121050
987880144
1042508840
1121aa4580
12122a0034
138a6477a
1459077ba
153aea32a
hex288a228

42508840 has 64 divisors (see below), whose sum is σ = 110496960. Its totient is φ = 14545920.

The previous prime is 42508799. The next prime is 42508847. The reversal of 42508840 is 4880524.

It is not an unprimeable number, because it can be changed into a prime (42508847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639 + ... + 10321.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515).

Almost surely, 242508840 is an apocalyptic number.

42508840 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 42508840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248480).

42508840 is an abundant number, since it is smaller than the sum of its proper divisors (67988120).

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

42508840 is a wasteful number, since it uses less digits than its factorization.

42508840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 42508840 is about 6519.8803670006. The cubic root of 42508840 is about 349.0007963792. Note that the first 3 decimals are identical.

The spelling of 42508840 in words is "forty-two million, five hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5683 7480 11366 22732 28415 45464 56830 62513 96611 113660 125026 193222 227320 250052 312565 386444 483055 500104 625130 772888 966110 1062721 1250260 1932220 2125442 2500520 3864440 4250884 5313605 8501768 10627210 21254420 42508840