[go: up one dir, main page]

Search a number
-
+
42012036 = 223211277383
BaseRepresentation
bin1010000001000…
…0110110000100
32221001102200100
42200100312010
541223341121
64100244100
71020045033
oct240206604
987042610
1042012036
11217952a0
12120a0630
13891c5c1
14581871a
153a4d026
hex2810d84

42012036 has 72 divisors (see below), whose sum is σ = 116573184. Its totient is φ = 12651840.

The previous prime is 42012017. The next prime is 42012073. The reversal of 42012036 is 63021024.

It is a happy number.

It is a super-2 number, since 2×420120362 = 3530022337730592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109501 + ... + 109883.

It is an arithmetic number, because the mean of its divisors is an integer number (1619072).

Almost surely, 242012036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42012036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58286592).

42012036 is an abundant number, since it is smaller than the sum of its proper divisors (74561148).

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

42012036 is a wasteful number, since it uses less digits than its factorization.

42012036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42012036 is about 6481.6692294501. The cubic root of 42012036 is about 347.6358656481.

The spelling of 42012036 in words is "forty-two million, twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 277 383 396 554 766 831 1108 1149 1532 1662 2298 2493 3047 3324 3447 4213 4596 4986 6094 6894 8426 9141 9972 12188 12639 13788 16852 18282 25278 27423 36564 37917 50556 54846 75834 106091 109692 151668 212182 318273 424364 636546 954819 1167001 1273092 1909638 2334002 3501003 3819276 4668004 7002006 10503009 14004012 21006018 42012036