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41324688 = 2433172331
BaseRepresentation
bin1001110110100…
…1000010010000
32212202111211000
42131221002100
541034342223
64033422000
71011153066
oct235510220
985674730
1041324688
1121365939
1211a0a900
13873b7a2
1456ba036
153964543
hex2769090

41324688 has 120 divisors (see below), whose sum is σ = 126385760. Its totient is φ = 12925440.

The previous prime is 41324659. The next prime is 41324693. The reversal of 41324688 is 88642314.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124683 + ... + 125013.

Almost surely, 241324688 is an apocalyptic number.

41324688 is a gapful number since it is divisible by the number (48) 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 41324688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63192880).

41324688 is an abundant number, since it is smaller than the sum of its proper divisors (85061072).

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

41324688 is a wasteful number, since it uses less digits than its factorization.

41324688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41324688 is about 6428.4281126882. The cubic root of 41324688 is about 345.7295713999.

The spelling of 41324688 in words is "forty-one million, three hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 289 306 331 408 432 459 578 612 662 816 867 918 993 1156 1224 1324 1734 1836 1986 2312 2448 2601 2648 2979 3468 3672 3972 4624 5202 5296 5627 5958 6936 7344 7803 7944 8937 10404 11254 11916 13872 15606 15888 16881 17874 20808 22508 23832 31212 33762 35748 41616 45016 47664 50643 62424 67524 71496 90032 95659 101286 124848 135048 142992 151929 191318 202572 270096 286977 303858 382636 405144 573954 607716 765272 810288 860931 1147908 1215432 1530544 1721862 2295816 2430864 2582793 3443724 4591632 5165586 6887448 10331172 13774896 20662344 41324688