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42236320 = 255743877
BaseRepresentation
bin1010000100011…
…1100110100000
32221110211100011
42201013212200
541303030240
64105134304
71022000650
oct241074640
987424304
1042236320
1121928855
121218a394
13899a709
145876360
153a946ea
hex28479a0

42236320 has 96 divisors (see below), whose sum is σ = 116823168. Its totient is φ = 14128128.

The previous prime is 42236317. The next prime is 42236371. The reversal of 42236320 is 2363224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42236291 and 42236300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47722 + ... + 48598.

It is an arithmetic number, because the mean of its divisors is an integer number (1216908).

Almost surely, 242236320 is an apocalyptic number.

42236320 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 42236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58411584).

42236320 is an abundant number, since it is smaller than the sum of its proper divisors (74586848).

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

42236320 is a wasteful number, since it uses less digits than its factorization.

42236320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 42236320 is about 6498.9476071130. The cubic root of 42236320 is about 348.2533936402.

Adding to 42236320 its reverse (2363224), we get a palindrome (44599544).

The spelling of 42236320 in words is "forty-two million, two hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 877 1120 1204 1376 1505 1720 1754 2408 3010 3440 3508 4385 4816 6020 6139 6880 7016 8770 9632 12040 12278 14032 17540 24080 24556 28064 30695 35080 37711 48160 49112 61390 70160 75422 98224 122780 140320 150844 188555 196448 245560 263977 301688 377110 491120 527954 603376 754220 982240 1055908 1206752 1319885 1508440 2111816 2639770 3016880 4223632 5279540 6033760 8447264 10559080 21118160 42236320