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42040530 = 2325729533
BaseRepresentation
bin1010000001011…
…1110011010010
32221002212202200
42200113303102
541230244110
64101024030
71020224100
oct240276322
987085680
1042040530
1121804744
12120b5016
13892c56c
145824c70
153a566c0
hex2817cd2

42040530 has 72 divisors (see below), whose sum is σ = 127164492. Its totient is φ = 9608256.

The previous prime is 42040469. The next prime is 42040601. The reversal of 42040530 is 3504024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39425841 + 2614689 = 6279^2 + 1617^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357 + ... + 9176.

Almost surely, 242040530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42040530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63582246).

42040530 is an abundant number, since it is smaller than the sum of its proper divisors (85123962).

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

42040530 is a wasteful number, since it uses less digits than its factorization.

42040530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42040530 is about 6483.8669017801. The cubic root of 42040530 is about 347.7144407321.

Adding to 42040530 its reverse (3504024), we get a palindrome (45544554).

The spelling of 42040530 in words is "forty-two million, forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 9533 19066 28599 47665 57198 66731 85797 95330 133462 142995 171594 200193 285990 333655 400386 428985 467117 600579 667310 857970 934234 1000965 1201158 1401351 2001930 2335585 2802702 3002895 4204053 4671170 6005790 7006755 8408106 14013510 21020265 42040530