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42507234 = 23371110223
BaseRepresentation
bin1010001000100…
…1101111100010
32221222120222000
42202021233202
541340212414
64115024430
71024206540
oct242115742
987876860
1042507234
1121aa3350
121229b116
138a63b13
145906d90
153ae9b09
hex2889be2

42507234 has 64 divisors (see below), whose sum is σ = 117780480. Its totient is φ = 11039760.

The previous prime is 42507233. The next prime is 42507239. The reversal of 42507234 is 43270524.

42507234 is a `hidden beast` number, since 425 + 0 + 7 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42507198 and 42507207.

It is not an unprimeable number, because it can be changed into a prime (42507233) 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, 954 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (1840320).

Almost surely, 242507234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42507234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58890240).

42507234 is an abundant number, since it is smaller than the sum of its proper divisors (75273246).

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

42507234 is a wasteful number, since it uses less digits than its factorization.

42507234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42507234 is about 6519.7572040683. The cubic root of 42507234 is about 348.9964011966.

Adding to 42507234 its reverse (43270524), we get a palindrome (85777758).

The spelling of 42507234 in words is "forty-two million, five hundred seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 10223 20446 30669 61338 71561 92007 112453 143122 184014 214683 224906 276021 337359 429366 552042 644049 674718 787171 1012077 1288098 1574342 1932147 2024154 2361513 3036231 3864294 4723026 6072462 7084539 14169078 21253617 42507234