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42815340 = 22325317673
BaseRepresentation
bin1010001101010…
…0111101101100
32222120020121100
42203110331230
541430042330
64125403100
71026632031
oct243247554
988506540
1042815340
1122193887
1212409490
138b41129
145987388
153b5b060
hex28d4f6c

42815340 has 72 divisors (see below), whose sum is σ = 134080128. Its totient is φ = 11047680.

The previous prime is 42815317. The next prime is 42815359. The reversal of 42815340 is 4351824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744 + ... + 9416.

It is an arithmetic number, because the mean of its divisors is an integer number (1862224).

Almost surely, 242815340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42815340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67040064).

42815340 is an abundant number, since it is smaller than the sum of its proper divisors (91264788).

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

42815340 is a wasteful number, since it uses less digits than its factorization.

42815340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42815340 is about 6543.3431821967. The cubic root of 42815340 is about 349.8375845076.

The spelling of 42815340 in words is "forty-two million, eight hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 7673 15346 23019 30692 38365 46038 69057 76730 92076 115095 138114 153460 230190 237863 276228 345285 460380 475726 690570 713589 951452 1189315 1381140 1427178 2140767 2378630 2854356 3567945 4281534 4757260 7135890 8563068 10703835 14271780 21407670 42815340