Search a number
-
+
42268128 = 2537312029
BaseRepresentation
bin1010000100111…
…1010111100000
32221112102222020
42201033113200
541310040003
64105541440
71022162460
oct241172740
987472866
1042268128
112194a741
12121a4880
1389ac036
145883ba0
153a9dd53
hex284f5e0

42268128 has 96 divisors (see below), whose sum is σ = 130959360. Its totient is φ = 11681280.

The previous prime is 42268117. The next prime is 42268139. The reversal of 42268128 is 82186224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42268117) and next prime (42268139).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×422681283 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 19818 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (1364160).

Almost surely, 242268128 is an apocalyptic number.

42268128 is a gapful number since it is divisible by the number (48) 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 42268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65479680).

42268128 is an abundant number, since it is smaller than the sum of its proper divisors (88691232).

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

42268128 is a wasteful number, since it uses less digits than its factorization.

42268128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 42268128 is about 6501.3943119919. The cubic root of 42268128 is about 348.3407944394.

The spelling of 42268128 in words is "forty-two million, two hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2029 2604 2976 3472 4058 5208 6087 6944 8116 10416 12174 14203 16232 20832 24348 28406 32464 42609 48696 56812 62899 64928 85218 97392 113624 125798 170436 188697 194784 227248 251596 340872 377394 440293 454496 503192 681744 754788 880586 1006384 1320879 1363488 1509576 1761172 2012768 2641758 3019152 3522344 5283516 6038304 7044688 10567032 14089376 21134064 42268128