Search a number
-
+
41622984 = 23381361
BaseRepresentation
bin1001111011000…
…1110111001000
32220022200000000
42132301313020
541123413414
64044043000
71013534544
oct236616710
986280000
1041622984
1121549a67
1211b33460
1388144b0
145756a24
1539c2b09
hex27b1dc8

41622984 has 144 divisors (see below), whose sum is σ = 128129820. Its totient is φ = 12597120.

The previous prime is 41622983. The next prime is 41622989. The reversal of 41622984 is 48922614.

It can be written as a sum of positive squares in 2 ways, for example, as 32148900 + 9474084 = 5670^2 + 3078^2 .

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 zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (41622983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 682314 + ... + 682374.

Almost surely, 241622984 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 41622984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064910).

41622984 is an abundant number, since it is smaller than the sum of its proper divisors (86506836).

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

41622984 is an equidigital number, since it uses as much as digits as its factorization.

41622984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41622984 is about 6451.5877115637. The cubic root of 41622984 is about 346.5594433352.

The spelling of 41622984 in words is "forty-one million, six hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 81 104 108 117 122 156 162 183 216 234 243 244 312 324 351 366 468 486 488 549 648 702 729 732 793 936 972 1053 1098 1404 1458 1464 1586 1647 1944 2106 2187 2196 2379 2808 2916 3159 3172 3294 4212 4374 4392 4758 4941 5832 6318 6344 6561 6588 7137 8424 8748 9477 9516 9882 12636 13122 13176 14274 14823 17496 18954 19032 19764 21411 25272 26244 28431 28548 29646 37908 39528 42822 44469 52488 56862 57096 59292 64233 75816 85293 85644 88938 113724 118584 128466 133407 170586 171288 177876 192699 227448 256932 266814 341172 355752 385398 400221 513864 533628 578097 682344 770796 800442 1067256 1156194 1541592 1600884 1734291 2312388 3201768 3468582 4624776 5202873 6937164 10405746 13874328 20811492 41622984