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41483808 = 25321737229
BaseRepresentation
bin1001111000111…
…1111000100000
32220001121002100
42132033320200
541104440213
64041050400
71012415022
oct236177040
986047070
1041483808
1121464443
1211a86a00
138796042
14571c012
153996773
hex278fe20

41483808 has 144 divisors (see below), whose sum is σ = 128845080. Its totient is φ = 12607488.

The previous prime is 41483807. The next prime is 41483839. The reversal of 41483808 is 80838414.

41483808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39087504 + 2396304 = 6252^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41483803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181038 + ... + 181266.

Almost surely, 241483808 is an apocalyptic number.

41483808 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 41483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64422540).

41483808 is an abundant number, since it is smaller than the sum of its proper divisors (87361272).

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

41483808 is a wasteful number, since it uses less digits than its factorization.

41483808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

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

The square root of 41483808 is about 6440.7924978220. The cubic root of 41483808 is about 346.1727449967.

The spelling of 41483808 in words is "forty-one million, four hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 229 272 288 296 306 333 408 444 458 544 592 612 629 666 687 816 888 916 1184 1224 1258 1332 1374 1632 1776 1832 1887 2061 2448 2516 2664 2748 3552 3664 3774 3893 4122 4896 5032 5328 5496 5661 7328 7548 7786 8244 8473 10064 10656 10992 11322 11679 15096 15572 16488 16946 20128 21984 22644 23358 25419 30192 31144 32976 33892 35037 45288 46716 50838 60384 62288 65952 67784 70074 76257 90576 93432 101676 124576 135568 140148 144041 152514 181152 186864 203352 271136 280296 288082 305028 373728 406704 432123 560592 576164 610056 813408 864246 1121184 1152328 1220112 1296369 1728492 2304656 2440224 2592738 3456984 4609312 5185476 6913968 10370952 13827936 20741904 41483808