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42088060 = 2257267641
BaseRepresentation
bin1010000010001…
…1011001111100
32221012021222001
42200203121330
541233304220
64102032044
71020512500
oct240433174
987167861
1042088060
1121837423
1212118624
1389480a1
145838300
153a6580a
hex282367c

42088060 has 72 divisors (see below), whose sum is σ = 104512464. Its totient is φ = 14192640.

The previous prime is 42088051. The next prime is 42088069. The reversal of 42088060 is 6088024.

It is an interprime number because it is at equal distance from previous prime (42088051) and next prime (42088069).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65340 + ... + 65980.

It is an arithmetic number, because the mean of its divisors is an integer number (1451562).

Almost surely, 242088060 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 42088060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52256232).

42088060 is an abundant number, since it is smaller than the sum of its proper divisors (62424404).

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

42088060 is a wasteful number, since it uses less digits than its factorization.

42088060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 42088060 is about 6487.5311174591. The cubic root of 42088060 is about 347.8454305411.

The spelling of 42088060 in words is "forty-two million, eighty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 641 670 938 980 1282 1340 1876 2345 2564 3205 3283 4487 4690 6410 6566 8974 9380 12820 13132 16415 17948 22435 31409 32830 42947 44870 62818 65660 85894 89740 125636 157045 171788 214735 300629 314090 429470 601258 628180 858940 1202516 1503145 2104403 3006290 4208806 6012580 8417612 10522015 21044030 42088060