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40041100 = 22521189409
BaseRepresentation
bin1001100010111…
…1101010001100
32210100022001201
42120233222030
540222303400
63550115244
7664225621
oct230575214
983308051
1040041100
1120669520
12114abb24
1383ac478
145464348
1537ae06a
hex262fa8c

40041100 has 72 divisors (see below), whose sum is σ = 96087600. Its totient is φ = 14361600.

The previous prime is 40041097. The next prime is 40041101. The reversal of 40041100 is 114004.

40041100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041101) 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, 97696 + ... + 98104.

It is an arithmetic number, because the mean of its divisors is an integer number (1334550).

Almost surely, 240041100 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 40041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043800).

40041100 is an abundant number, since it is smaller than the sum of its proper divisors (56046500).

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

40041100 is a wasteful number, since it uses less digits than its factorization.

40041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40041100 is about 6327.8037264125. The cubic root of 40041100 is about 342.1122825924.

Adding to 40041100 its reverse (114004), we get a palindrome (40155104).

The spelling of 40041100 in words is "forty million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 409 445 550 818 890 979 1100 1636 1780 1958 2045 2225 3916 4090 4450 4499 4895 8180 8900 8998 9790 10225 17996 19580 20450 22495 24475 36401 40900 44990 48950 72802 89980 97900 112475 145604 182005 224950 364010 400411 449900 728020 800822 910025 1601644 1820050 2002055 3640100 4004110 8008220 10010275 20020550 40041100