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42501018 = 2375361313
BaseRepresentation
bin1010001000100…
…0001110011010
32221222021102210
42202020032122
541340013033
64114535550
71024152450
oct242101632
987867383
1042501018
1121a9970a
12122975b6
138a61041
1459049d0
153ae7d63
hex288839a

42501018 has 64 divisors (see below), whose sum is σ = 100922112. Its totient is φ = 11681280.

The previous prime is 42501013. The next prime is 42501023. The reversal of 42501018 is 81010524.

It is an interprime number because it is at equal distance from previous prime (42501013) and next prime (42501023).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42500985 and 42501003.

It is not an unprimeable number, because it can be changed into a prime (42501013) 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, 135630 + ... + 135942.

It is an arithmetic number, because the mean of its divisors is an integer number (1576908).

Almost surely, 242501018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42501018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50461056).

42501018 is an abundant number, since it is smaller than the sum of its proper divisors (58421094).

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

42501018 is a wasteful number, since it uses less digits than its factorization.

42501018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 42501018 is about 6519.2804817710. The cubic root of 42501018 is about 348.9793886619.

The spelling of 42501018 in words is "forty-two million, five hundred one thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 42 53 61 106 122 159 183 313 318 366 371 427 626 742 854 939 1113 1281 1878 2191 2226 2562 3233 4382 6466 6573 9699 13146 16589 19093 19398 22631 33178 38186 45262 49767 57279 67893 99534 114558 116123 133651 135786 232246 267302 348369 400953 696738 801906 1011929 2023858 3035787 6071574 7083503 14167006 21250509 42501018