Search a number
-
+
41232888 = 23341719197
BaseRepresentation
bin1001110101001…
…0100111111000
32212120211220000
42131102213320
541023423023
64031433000
71010321334
oct235224770
985524800
1041232888
1121302974
1211985760
138708a78
1456947c4
153947243
hex27529f8

41232888 has 160 divisors (see below), whose sum is σ = 129373200. Its totient is φ = 12192768.

The previous prime is 41232881. The next prime is 41232901. The reversal of 41232888 is 88823214.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (41232881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209206 + ... + 209402.

Almost surely, 241232888 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 41232888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686600).

41232888 is an abundant number, since it is smaller than the sum of its proper divisors (88140312).

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

41232888 is a wasteful number, since it uses less digits than its factorization.

41232888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 41232888 is about 6421.2839837528. The cubic root of 41232888 is about 345.4733766449.

The spelling of 41232888 in words is "forty-one million, two hundred thirty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 197 204 216 228 306 323 324 342 394 408 456 459 513 591 612 646 648 684 788 918 969 1026 1182 1224 1292 1368 1377 1539 1576 1773 1836 1938 2052 2364 2584 2754 2907 3078 3349 3546 3672 3743 3876 4104 4728 5319 5508 5814 6156 6698 7092 7486 7752 8721 10047 10638 11016 11229 11628 12312 13396 14184 14972 15957 17442 20094 21276 22458 23256 26163 26792 29944 30141 31914 33687 34884 40188 42552 44916 52326 60282 63631 63828 67374 69768 80376 89832 90423 101061 104652 120564 127262 127656 134748 180846 190893 202122 209304 241128 254524 269496 271269 303183 361692 381786 404244 509048 542538 572679 606366 723384 763572 808488 1085076 1145358 1212732 1527144 1718037 2170152 2290716 2425464 3436074 4581432 5154111 6872148 10308222 13744296 20616444 41232888