Search a number
-
+
40175982 = 232721141101
BaseRepresentation
bin1001100101000…
…0100101101110
32210121011002100
42121100211232
540241112412
63553035530
7665330100
oct231204556
983534070
1040175982
11207508a0
1211555ba6
138428992
14549b570
1537d8edc
hex265096e

40175982 has 144 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 10080000.

The previous prime is 40175977. The next prime is 40175999. The reversal of 40175982 is 28957104.

It is a super-2 number, since 2×401759822 = 3228219059328648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397732 + ... + 397832.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 240175982 is an apocalyptic number.

40175982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40175982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

40175982 is an abundant number, since it is smaller than the sum of its proper divisors (74104002).

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

40175982 is a wasteful number, since it uses less digits than its factorization.

40175982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 40175982 is about 6338.4526502925. The cubic root of 40175982 is about 342.4959972537.

It can be divided in two parts, 4017 and 5982, that added together give a palindrome (9999).

The spelling of 40175982 in words is "forty million, one hundred seventy-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 49 63 66 77 82 98 99 101 123 126 147 154 198 202 231 246 287 294 303 369 441 451 462 539 574 606 693 707 738 861 882 902 909 1078 1111 1353 1386 1414 1617 1722 1818 2009 2121 2222 2583 2706 3157 3234 3333 4018 4059 4141 4242 4851 4949 5166 6027 6314 6363 6666 7777 8118 8282 9471 9702 9898 9999 12054 12423 12726 14847 15554 18081 18942 19998 22099 23331 24846 28413 28987 29694 36162 37269 44198 44541 45551 46662 54439 56826 57974 66297 69993 74538 86961 89082 91102 108878 132594 136653 139986 163317 173922 198891 202909 260883 273306 318857 326634 397782 405818 409959 489951 521766 608727 637714 819918 956571 979902 1217454 1826181 1913142 2231999 2869713 3652362 4463998 5739426 6695997 13391994 20087991 40175982