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42411720 = 23351331877
BaseRepresentation
bin1010000111001…
…0011011001000
32221210201221110
42201302123020
541324133340
64113010320
71023331221
oct241623310
987721843
1042411720
1121a3860a
12122539a0
138a2c4c0
1458c0248
153acb680
hex28726c8

42411720 has 128 divisors (see below), whose sum is σ = 141603840. Its totient is φ = 10091520.

The previous prime is 42411683. The next prime is 42411727. The reversal of 42411720 is 2711424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42411727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47922 + ... + 48798.

It is an arithmetic number, because the mean of its divisors is an integer number (1106280).

Almost surely, 242411720 is an apocalyptic number.

42411720 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 42411720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70801920).

42411720 is an abundant number, since it is smaller than the sum of its proper divisors (99192120).

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

42411720 is a wasteful number, since it uses less digits than its factorization.

42411720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 42411720 is about 6512.4281186052. The cubic root of 42411720 is about 348.7348061879.

The spelling of 42411720 in words is "forty-two million, four hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 877 930 1209 1240 1560 1612 1754 1860 2015 2418 2631 3224 3508 3720 4030 4385 4836 5262 6045 7016 8060 8770 9672 10524 11401 12090 13155 16120 17540 21048 22802 24180 26310 27187 34203 35080 45604 48360 52620 54374 57005 68406 81561 91208 105240 108748 114010 135935 136812 163122 171015 217496 228020 271870 273624 326244 342030 353431 407805 456040 543740 652488 684060 706862 815610 1060293 1087480 1368120 1413724 1631220 1767155 2120586 2827448 3262440 3534310 4241172 5301465 7068620 8482344 10602930 14137240 21205860 42411720