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42058830 = 23511233547
BaseRepresentation
bin1010000001110…
…0010001001110
32221010210212110
42200130101032
541231340310
64101244450
71020331332
oct240342116
987123773
1042058830
1121817470
1212103726
1389379a8
14582b7c2
153a5bd20
hex281c44e

42058830 has 64 divisors (see below), whose sum is σ = 110792448. Its totient is φ = 10133760.

The previous prime is 42058823. The next prime is 42058831. The reversal of 42058830 is 3885024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42058831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76617 + ... + 77163.

It is an arithmetic number, because the mean of its divisors is an integer number (1731132).

Almost surely, 242058830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42058830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55396224).

42058830 is an abundant number, since it is smaller than the sum of its proper divisors (68733618).

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

42058830 is a wasteful number, since it uses less digits than its factorization.

42058830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

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

The square root of 42058830 is about 6485.2779431571. The cubic root of 42058830 is about 347.7648861095.

The spelling of 42058830 in words is "forty-two million, fifty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 330 466 547 699 1094 1165 1398 1641 2330 2563 2735 3282 3495 5126 5470 6017 6990 7689 8205 12034 12815 15378 16410 18051 25630 30085 36102 38445 60170 76890 90255 127451 180510 254902 382353 637255 764706 1274510 1401961 1911765 2803922 3823530 4205883 7009805 8411766 14019610 21029415 42058830