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42835380 = 22357791291
BaseRepresentation
bin1010001101100…
…1110110110100
32222121021002120
42203121312310
541431213010
64130035540
71030044330
oct243316664
988537076
1042835380
11221a7945
1212418bb0
138b4a2a3
1459907c0
153b61e70
hex28d9db4

42835380 has 96 divisors (see below), whose sum is σ = 138915840. Its totient is φ = 9659520.

The previous prime is 42835369. The next prime is 42835399. The reversal of 42835380 is 8353824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32535 + ... + 33825.

It is an arithmetic number, because the mean of its divisors is an integer number (1447040).

Almost surely, 242835380 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 42835380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

42835380 is an abundant number, since it is smaller than the sum of its proper divisors (96080460).

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

42835380 is a wasteful number, since it uses less digits than its factorization.

42835380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 42835380 is about 6544.8743303443. The cubic root of 42835380 is about 349.8921572509.

The spelling of 42835380 in words is "forty-two million, eight hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1291 1580 1659 2212 2370 2582 2765 3318 3873 4740 5164 5530 6455 6636 7746 8295 9037 11060 12910 15492 16590 18074 19365 25820 27111 33180 36148 38730 45185 54222 77460 90370 101989 108444 135555 180740 203978 271110 305967 407956 509945 542220 611934 713923 1019890 1223868 1427846 1529835 2039780 2141769 2855692 3059670 3569615 4283538 6119340 7139230 8567076 10708845 14278460 21417690 42835380