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41124996 = 22341121049
BaseRepresentation
bin1001110011100…
…0010010000100
32212101100220000
42130320102010
541011444441
64025241300
71006361643
oct234702204
985340800
1041124996
1121239900
1211933230
13869b923
14566735a
1539252b6
hex2738484

41124996 has 90 divisors (see below), whose sum is σ = 118283550. Its totient is φ = 12450240.

The previous prime is 41124983. The next prime is 41124997. The reversal of 41124996 is 69942114.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 980100 = 6336^2 + 990^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41124996.

It is not an unprimeable number, because it can be changed into a prime (41124997) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38680 + ... + 39728.

Almost surely, 241124996 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 41124996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59141775).

41124996 is an abundant number, since it is smaller than the sum of its proper divisors (77158554).

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

41124996 is a wasteful number, since it uses less digits than its factorization.

41124996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1065 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 41124996 is about 6412.8773573179. The cubic root of 41124996 is about 345.1717859040.

The spelling of 41124996 in words is "forty-one million, one hundred twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1049 1089 1188 1452 1782 2098 2178 3147 3267 3564 4196 4356 6294 6534 9441 9801 11539 12588 13068 18882 19602 23078 28323 34617 37764 39204 46156 56646 69234 84969 103851 113292 126929 138468 169938 207702 253858 311553 339876 380787 415404 507716 623106 761574 934659 1142361 1246212 1523148 1869318 2284722 3427083 3738636 4569444 6854166 10281249 13708332 20562498 41124996