Search a number
-
+
41425344 = 263461131
BaseRepresentation
bin1001111000000…
…1100111000000
32212221121220000
42132001213000
541101102334
64035520000
71012052412
oct236014700
985847800
1041425344
1121424524
1211a59000
13877554c
1457049b2
153984299
hex27819c0

41425344 has 140 divisors (see below), whose sum is σ = 125763528. Its totient is φ = 13478400.

The previous prime is 41425343. The next prime is 41425361. The reversal of 41425344 is 44352414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41425343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316159 + ... + 316289.

Almost surely, 241425344 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 41425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62881764).

41425344 is an abundant number, since it is smaller than the sum of its proper divisors (84338184).

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

41425344 is a wasteful number, since it uses less digits than its factorization.

41425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 41425344 is about 6436.2523256939. The cubic root of 41425344 is about 346.0100457061.

Adding to 41425344 its reverse (44352414), we get a palindrome (85777758).

The spelling of 41425344 in words is "forty-one million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 131 144 162 183 192 216 244 262 288 324 366 393 432 488 524 549 576 648 732 786 864 976 1048 1098 1179 1296 1464 1572 1647 1728 1952 2096 2196 2358 2592 2928 3144 3294 3537 3904 4192 4392 4716 4941 5184 5856 6288 6588 7074 7991 8384 8784 9432 9882 10611 11712 12576 13176 14148 15982 17568 18864 19764 21222 23973 25152 26352 28296 31964 35136 37728 39528 42444 47946 52704 56592 63928 71919 75456 79056 84888 95892 105408 113184 127856 143838 158112 169776 191784 215757 226368 255712 287676 316224 339552 383568 431514 511424 575352 647271 679104 767136 863028 1150704 1294542 1534272 1726056 2301408 2589084 3452112 4602816 5178168 6904224 10356336 13808448 20712672 41425344