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41238432 = 2532312149
BaseRepresentation
bin1001110101001…
…1111110100000
32212121010111100
42131103332200
541024112212
64031514400
71010343444
oct235237640
985533440
1041238432
1121307054
1211988a00
13870b451
145696824
153948bdc
hex2753fa0

41238432 has 108 divisors (see below), whose sum is σ = 121990050. Its totient is φ = 13213440.

The previous prime is 41238403. The next prime is 41238469. The reversal of 41238432 is 23483214.

It can be written as a sum of positive squares in only one way, i.e., 39992976 + 1245456 = 6324^2 + 1116^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41238396 and 41238405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 276694 + ... + 276842.

Almost surely, 241238432 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 41238432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60995025).

41238432 is an abundant number, since it is smaller than the sum of its proper divisors (80751618).

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

41238432 is a wasteful number, since it uses less digits than its factorization.

41238432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 41238432 is about 6421.7156586071. The cubic root of 41238432 is about 345.4888595815.

The spelling of 41238432 in words is "forty-one million, two hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 149 186 248 279 288 298 372 447 496 558 596 744 894 961 992 1116 1192 1341 1488 1788 1922 2232 2384 2682 2883 2976 3576 3844 4464 4619 4768 5364 5766 7152 7688 8649 8928 9238 10728 11532 13857 14304 15376 17298 18476 21456 23064 27714 30752 34596 36952 41571 42912 46128 55428 69192 73904 83142 92256 110856 138384 143189 147808 166284 221712 276768 286378 332568 429567 443424 572756 665136 859134 1145512 1288701 1330272 1718268 2291024 2577402 3436536 4582048 5154804 6873072 10309608 13746144 20619216 41238432