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42715458 = 23317193179
BaseRepresentation
bin1010001011110…
…0100101000010
32222101011121000
42202330211002
541413343313
64123312430
71026034602
oct242744502
988334530
1042715458
1122125835
121237b716
138b07826
14595cc02
153b3b673
hex28bc942

42715458 has 128 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 12130560.

The previous prime is 42715447. The next prime is 42715459. The reversal of 42715458 is 85451724.

42715458 is a `hidden beast` number, since 42 + 71 + 545 + 8 = 666.

It is a super-2 number, since 2×427154582 = 3649220704299528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42715459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540663 + ... + 540741.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 242715458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42715458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

42715458 is an abundant number, since it is smaller than the sum of its proper divisors (67876542).

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

42715458 is a wasteful number, since it uses less digits than its factorization.

42715458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 42715458 is about 6535.7063887540. The cubic root of 42715458 is about 349.5653325157.

The spelling of 42715458 in words is "forty-two million, seven hundred fifteen thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 31 34 38 51 54 57 62 79 93 102 114 153 158 171 186 237 279 306 323 342 459 474 513 527 558 589 646 711 837 918 969 1026 1054 1178 1343 1422 1501 1581 1674 1767 1938 2133 2449 2686 2907 3002 3162 3534 4029 4266 4503 4743 4898 5301 5814 7347 8058 8721 9006 9486 10013 10602 12087 13509 14229 14694 15903 17442 20026 22041 24174 25517 27018 28458 30039 31806 36261 40527 41633 44082 46531 51034 60078 66123 72522 76551 81054 83266 90117 93062 124899 132246 139593 153102 180234 229653 249798 270351 279186 374697 418779 459306 540702 688959 749394 791027 837558 1124091 1256337 1377918 1582054 2248182 2373081 2512674 4746162 7119243 14238486 21357729 42715458