Search a number
-
+
41226432 = 2631383199
BaseRepresentation
bin1001110101000…
…1000011000000
32212120112000220
42131101003000
541023221212
64031343040
71010263452
oct235210300
985515026
1041226432
11212a9035
1211981a80
138705b50
1456922d2
15394538c
hex27510c0

41226432 has 112 divisors (see below), whose sum is σ = 119481600. Its totient is φ = 12469248.

The previous prime is 41226431. The next prime is 41226433. The reversal of 41226432 is 23462214.

It is an interprime number because it is at equal distance from previous prime (41226431) and next prime (41226433).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (41226431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207069 + ... + 207267.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 241226432 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 41226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

41226432 is an abundant number, since it is smaller than the sum of its proper divisors (78255168).

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

41226432 is a wasteful number, since it uses less digits than its factorization.

41226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 41226432 is about 6420.7812608747. The cubic root of 41226432 is about 345.4553449826.

Adding to 41226432 its reverse (23462214), we get a palindrome (64688646).

The spelling of 41226432 in words is "forty-one million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 199 208 249 312 332 398 416 498 597 624 664 796 832 996 1079 1194 1248 1328 1592 1992 2158 2388 2496 2587 2656 3184 3237 3984 4316 4776 5174 5312 6368 6474 7761 7968 8632 9552 10348 12736 12948 15522 15936 16517 17264 19104 20696 25896 31044 33034 34528 38208 41392 49551 51792 62088 66068 69056 82784 99102 103584 124176 132136 165568 198204 207168 214721 248352 264272 396408 429442 496704 528544 644163 792816 858884 1057088 1288326 1585632 1717768 2576652 3171264 3435536 5153304 6871072 10306608 13742144 20613216 41226432