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4032450040 = 23541259971
BaseRepresentation
bin1111000001011010…
…0100110111111000
3101102000202200112111
43300112210313320
531224301400130
61504045222104
7201633155053
oct36026446770
911360680474
104032450040
11178a238443
12946561934
134c3573918
142a379da9a
1518903502a
hexf05a4df8

4032450040 has 48 divisors (see below), whose sum is σ = 9299858040. Its totient is φ = 1573612800.

The previous prime is 4032450013. The next prime is 4032450053. The reversal of 4032450040 is 400542304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4032449993 and 4032450020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37255 + ... + 97225.

Almost surely, 24032450040 is an apocalyptic number.

4032450040 is a gapful number since it is divisible by the number (40) 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 4032450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649929020).

4032450040 is an abundant number, since it is smaller than the sum of its proper divisors (5267408000).

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

4032450040 is a wasteful number, since it uses less digits than its factorization.

4032450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60064 (or 60019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4032450040 is about 63501.5750985753. The cubic root of 4032450040 is about 1591.6820983796.

Adding to 4032450040 its reverse (400542304), we get a palindrome (4432992344).

The spelling of 4032450040 in words is "four billion, thirty-two million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1681 3362 6724 8405 13448 16810 33620 59971 67240 119942 239884 299855 479768 599710 1199420 2398840 2458811 4917622 9835244 12294055 19670488 24588110 49176220 98352440 100811251 201622502 403245004 504056255 806490008 1008112510 2016225020 4032450040