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42020440 = 23572111949
BaseRepresentation
bin1010000001001…
…0111001011000
32221001212012121
42200102321120
541224123230
64100351024
71020111400
oct240227130
987055177
1042020440
11217a0640
12120a5474
138923387
14581b800
153a5077a
hex2812e58

42020440 has 96 divisors (see below), whose sum is σ = 120042000. Its totient is φ = 13090560.

The previous prime is 42020437. The next prime is 42020441. The reversal of 42020440 is 4402024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20586 + ... + 22534.

Almost surely, 242020440 is an apocalyptic number.

42020440 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 42020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60021000).

42020440 is an abundant number, since it is smaller than the sum of its proper divisors (78021560).

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

42020440 is a wasteful number, since it uses less digits than its factorization.

42020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42020440 is about 6482.3174868252. The cubic root of 42020440 is about 347.6590442203.

Adding to 42020440 its reverse (4402024), we get a palindrome (46422464).

The spelling of 42020440 in words is "forty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1949 1960 2156 2695 3080 3898 4312 5390 7796 9745 10780 13643 15592 19490 21439 21560 27286 38980 42878 54572 68215 77960 85756 95501 107195 109144 136430 150073 171512 191002 214390 272860 300146 382004 428780 477505 545720 600292 750365 764008 857560 955010 1050511 1200584 1500730 1910020 2101022 3001460 3820040 4202044 5252555 6002920 8404088 10505110 21010220 42020440