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42445040 = 24511139347
BaseRepresentation
bin1010000111101…
…0100011110000
32221212102122112
42201322203300
541331220130
64113424452
71023530321
oct241724360
987772575
1042445040
1121a60650
121226b128
138a41711
1458cc448
153ad6495
hex287a8f0

42445040 has 80 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 15279360.

The previous prime is 42445033. The next prime is 42445049. The reversal of 42445040 is 4054424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42444997 and 42445015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42445049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122147 + ... + 122493.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288).

Almost surely, 242445040 is an apocalyptic number.

42445040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

42445040 is an abundant number, since it is smaller than the sum of its proper divisors (66298000).

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

42445040 is a wasteful number, since it uses less digits than its factorization.

42445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 42445040 is about 6514.9858019799. The cubic root of 42445040 is about 348.8261080112.

Adding to 42445040 its reverse (4054424), we get a palindrome (46499464).

The spelling of 42445040 in words is "forty-two million, four hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 347 440 556 694 695 880 1112 1388 1390 1529 1735 2224 2776 2780 3058 3470 3817 5552 5560 6116 6940 7634 7645 11120 12232 13880 15268 15290 19085 24464 27760 30536 30580 38170 48233 61072 61160 76340 96466 122320 152680 192932 241165 305360 385864 482330 530563 771728 964660 1061126 1929320 2122252 2652815 3858640 4244504 5305630 8489008 10611260 21222520 42445040