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42058380 = 22357137703
BaseRepresentation
bin1010000001110…
…0001010001100
32221010210020210
42200130022030
541231332010
64101242420
71020330120
oct240341214
987123223
1042058380
11218170a1
1212103410
138937720
14582b580
153a5bb20
hex281c28c

42058380 has 96 divisors (see below), whose sum is σ = 144958464. Its totient is φ = 8872704.

The previous prime is 42058363. The next prime is 42058403. The reversal of 42058380 is 8385024.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1609 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (1509984).

Almost surely, 242058380 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 42058380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72479232).

42058380 is an abundant number, since it is smaller than the sum of its proper divisors (102900084).

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

42058380 is a wasteful number, since it uses less digits than its factorization.

42058380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42058380 is about 6485.2432491002. The cubic root of 42058380 is about 347.7636458249.

The spelling of 42058380 in words is "forty-two million, fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 7703 15406 23109 30812 38515 46218 53921 77030 92436 100139 107842 115545 154060 161763 200278 215684 231090 269605 300417 323526 400556 462180 500695 539210 600834 647052 700973 808815 1001390 1078420 1201668 1401946 1502085 1617630 2002780 2102919 2803892 3004170 3235260 3504865 4205838 6008340 7009730 8411676 10514595 14019460 21029190 42058380