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42020532 = 2235172543
BaseRepresentation
bin1010000001001…
…0111010110100
32221001212100000
42200102322310
541224124112
64100351300
71020111561
oct240227264
987055300
1042020532
11217a0714
12120a5530
138923428
14581b868
153a507dc
hex2812eb4

42020532 has 72 divisors (see below), whose sum is σ = 116678016. Its totient is φ = 13177728.

The previous prime is 42020527. The next prime is 42020557. The reversal of 42020532 is 23502024.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15253 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (1620528).

Almost surely, 242020532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58339008).

42020532 is an abundant number, since it is smaller than the sum of its proper divisors (74657484).

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

42020532 is a wasteful number, since it uses less digits than its factorization.

42020532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2565 counting only the distinct ones).

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

The square root of 42020532 is about 6482.3245830489. The cubic root of 42020532 is about 347.6592979429.

Adding to 42020532 its reverse (23502024), we get a palindrome (65522556).

The spelling of 42020532 in words is "forty-two million, twenty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2543 2754 4131 5086 5508 7629 8262 10172 15258 16524 22887 30516 43231 45774 68661 86462 91548 129693 137322 172924 205983 259386 274644 389079 411966 518772 617949 778158 823932 1167237 1235898 1556316 2334474 2471796 3501711 4668948 7003422 10505133 14006844 21010266 42020532