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4045555404 = 223211101101149
BaseRepresentation
bin1111000100100010…
…0100011011001100
3101102221102111201100
43301020210123030
531241130233104
61505234143100
7202152440112
oct36110443314
911387374640
104045555404
111796679720
1294aa21a90
134c61b1a87
142a5411ab2
1518a273139
hexf12246cc

4045555404 has 72 divisors (see below), whose sum is σ = 11266491600. Its totient is φ = 1213776000.

The previous prime is 4045555387. The next prime is 4045555427.

4045555404 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10579 + ... + 90570.

It is an arithmetic number, because the mean of its divisors is an integer number (156479050).

Almost surely, 24045555404 is an apocalyptic number.

4045555404 is a gapful number since it is divisible by the number (44) 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 4045555404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633245800).

4045555404 is an abundant number, since it is smaller than the sum of its proper divisors (7220936196).

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

4045555404 is a wasteful number, since it uses less digits than its factorization.

4045555404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101271 (or 101266 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The square root of 4045555404 is about 63604.6806768181. The cubic root of 4045555404 is about 1593.4045430536.

It can be divided in two parts, 40455 and 55404, that added together give a palindrome (95859).

The spelling of 4045555404 in words is "four billion, forty-five million, five hundred fifty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 101149 202298 303447 404596 606894 910341 1112639 1213788 1820682 2225278 3337917 3641364 4450556 6675834 10013751 10216049 13351668 20027502 20432098 30648147 40055004 40864196 61296294 91944441 112376539 122592588 183888882 224753078 337129617 367777764 449506156 674259234 1011388851 1348518468 2022777702 4045555404