Search a number
-
+
42899040 = 25325313
BaseRepresentation
bin1010001110100…
…1011001100000
32222201111102100
42203221121200
541440232130
64131250400
71030431042
oct243513140
988644370
1042899040
1122240758
1212449a00
138b70262
1459a9a92
153b75c60
hex28e9660

42899040 has 144 divisors (see below), whose sum is σ = 151272576. Its totient is φ = 11070720.

The previous prime is 42899011. The next prime is 42899053. The reversal of 42899040 is 4099824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42898986 and 42899004.

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, 1383825 + ... + 1383855.

It is an arithmetic number, because the mean of its divisors is an integer number (1050504).

Almost surely, 242899040 is an apocalyptic number.

42899040 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 42899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75636288).

42899040 is an abundant number, since it is smaller than the sum of its proper divisors (108373536).

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

42899040 is an equidigital number, since it uses as much as digits as its factorization.

42899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42899040 is about 6549.7358725372. The cubic root of 42899040 is about 350.0654027437.

The spelling of 42899040 in words is "forty-two million, eight hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 961 992 1116 1240 1395 1440 1488 1860 1922 2232 2480 2790 2883 2976 3720 3844 4464 4805 4960 5580 5766 7440 7688 8649 8928 9610 11160 11532 14415 14880 15376 17298 19220 22320 23064 28830 29791 30752 34596 38440 43245 44640 46128 57660 59582 69192 76880 86490 89373 92256 115320 119164 138384 148955 153760 172980 178746 230640 238328 268119 276768 297910 345960 357492 446865 461280 476656 536238 595820 691920 714984 893730 953312 1072476 1191640 1340595 1383840 1429968 1787460 2144952 2383280 2681190 2859936 3574920 4289904 4766560 5362380 7149840 8579808 10724760 14299680 21449520 42899040