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42989544 = 23321323533
BaseRepresentation
bin1010001111111…
…1011111101000
32222220002120100
42203333133220
542001131134
64133225400
71031255643
oct243773750
988802510
1042989544
11222a2754
1212492260
138ba2500
1459d0a5a
153b92999
hex28ff7e8

42989544 has 72 divisors (see below), whose sum is σ = 126110790. Its totient is φ = 13223808.

The previous prime is 42989489. The next prime is 42989587. The reversal of 42989544 is 44598924.

42989544 is a `hidden beast` number, since 4 + 29 + 89 + 544 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28836900 + 14152644 = 5370^2 + 3762^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×429895443 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42989544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10402 + ... + 13934.

Almost surely, 242989544 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 42989544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63055395).

42989544 is an abundant number, since it is smaller than the sum of its proper divisors (83121246).

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

42989544 is a wasteful number, since it uses less digits than its factorization.

42989544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42989544 is about 6556.6412133043. The cubic root of 42989544 is about 350.3114072017.

The spelling of 42989544 in words is "forty-two million, nine hundred eighty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3533 4056 6084 7066 10599 12168 14132 21198 28264 31797 42396 45929 63594 84792 91858 127188 137787 183716 254376 275574 367432 413361 551148 597077 826722 1102296 1194154 1653444 1791231 2388308 3306888 3582462 4776616 5373693 7164924 10747386 14329848 21494772 42989544