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4013090928 = 24327111943443
BaseRepresentation
bin1110111100110010…
…1110100001110000
3101100200100010211100
43233030232201300
531204322402203
61502114244400
7201306465360
oct35714564160
911320303740
104013090928
11177a315680
1293bb86700
134bc556122
142a0da09a0
151874adea3
hexef32e870

4013090928 has 480 divisors, whose sum is σ = 15116175360. Its totient is φ = 962357760.

The previous prime is 4013090923. The next prime is 4013090951. The reversal of 4013090928 is 8290903104.

It is a super-2 number, since 2×40130909282 = 32209797592791802368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4013090892 and 4013090901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013090923) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9058675 + ... + 9059117.

It is an arithmetic number, because the mean of its divisors is an integer number (31492032).

Almost surely, 24013090928 is an apocalyptic number.

4013090928 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 4013090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558087680).

4013090928 is an abundant number, since it is smaller than the sum of its proper divisors (11103084432).

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

4013090928 is a wasteful number, since it uses less digits than its factorization.

4013090928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4013090928 is about 63348.9615384499. The cubic root of 4013090928 is about 1589.1308789915.

The spelling of 4013090928 in words is "four billion, thirteen million, ninety thousand, nine hundred twenty-eight".