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4013003104 = 2511101112877
BaseRepresentation
bin1110111100110001…
…1001000101100000
3101100200011200100121
43233030121011200
531204312044404
61502112330024
7201305651335
oct35714310540
911320150317
104013003104
11177a2656a0
1293bb43914
134bc525166
142a0d7a98c
15187492e54
hexef319160

4013003104 has 48 divisors (see below), whose sum is σ = 8704248336. Its totient is φ = 1806016000.

The previous prime is 4013003047. The next prime is 4013003107.

4013003104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40130031042 = 32208387825427269632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013003107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20887 + ... + 91990.

It is an arithmetic number, because the mean of its divisors is an integer number (181338507).

Almost surely, 24013003104 is an apocalyptic number.

4013003104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013003104 is an abundant number, since it is smaller than the sum of its proper divisors (4691245232).

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

4013003104 is a wasteful number, since it uses less digits than its factorization.

4013003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112999 (or 112991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4013003104 is about 63348.2683583379. The cubic root of 4013003104 is about 1589.1192865265.

It can be divided in two parts, 401300 and 3104, that added together give a palindrome (404404).

The spelling of 4013003104 in words is "four billion, thirteen million, three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 112877 225754 451508 903016 1241647 1806032 2483294 3612064 4966588 9933176 11400577 19866352 22801154 39732704 45602308 91204616 125406347 182409232 250812694 364818464 501625388 1003250776 2006501552 4013003104