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40225104 = 2432319011
BaseRepresentation
bin1001100101110…
…0100101010000
32210200122110200
42121130211100
540244200404
63554055200
7665623233
oct231344520
983618420
1040225104
1120784797
121157a500
13844514a
1454b141a
1537e8839
hex265c950

40225104 has 60 divisors (see below), whose sum is σ = 116218752. Its totient is φ = 12974400.

The previous prime is 40225103. The next prime is 40225139. The reversal of 40225104 is 40152204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 8969.

Almost surely, 240225104 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 40225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58109376).

40225104 is an abundant number, since it is smaller than the sum of its proper divisors (75993648).

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

40225104 is a wasteful number, since it uses less digits than its factorization.

40225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40225104 is about 6342.3263870602. The cubic root of 40225104 is about 342.6355270210.

Adding to 40225104 its reverse (40152204), we get a palindrome (80377308).

Subtracting from 40225104 its reverse (40152204), we obtain a square (72900 = 2702).

The spelling of 40225104 in words is "forty million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9011 18022 27033 36044 54066 72088 81099 108132 144176 162198 216264 279341 324396 432528 558682 648792 838023 1117364 1297584 1676046 2234728 2514069 3352092 4469456 5028138 6704184 10056276 13408368 20112552 40225104