Search a number
-
+
41263152 = 2437227541
BaseRepresentation
bin1001110101101…
…0000000110000
32212122101101220
42131122000300
541030410102
64032225040
71010505510
oct235320060
985571356
1041263152
1121323687
121199b180
138719788
1456a1840
1539511bc
hex275a030

41263152 has 80 divisors (see below), whose sum is σ = 122587392. Its totient is φ = 11715840.

The previous prime is 41263147. The next prime is 41263153. The reversal of 41263152 is 25136214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41263153) 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, 76002 + ... + 76542.

Almost surely, 241263152 is an apocalyptic number.

41263152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61293696).

41263152 is an abundant number, since it is smaller than the sum of its proper divisors (81324240).

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

41263152 is a wasteful number, since it uses less digits than its factorization.

41263152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 41263152 is about 6423.6400895442. The cubic root of 41263152 is about 345.5578791688.

Adding to 41263152 its reverse (25136214), we get a palindrome (66399366).

The spelling of 41263152 in words is "forty-one million, two hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 541 681 908 1082 1362 1589 1623 1816 2164 2724 3178 3246 3632 3787 4328 4767 5448 6356 6492 7574 8656 9534 10896 11361 12712 12984 15148 19068 22722 25424 25968 30296 38136 45444 60592 76272 90888 122807 181776 245614 368421 491228 736842 859649 982456 1473684 1719298 1964912 2578947 2947368 3438596 5157894 5894736 6877192 10315788 13754384 20631576 41263152