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4007044404 = 2234115631997
BaseRepresentation
bin1110111011010110…
…1010010100110100
3101100020221221120000
43232311222110310
531201300410104
61501340511300
7201204213126
oct35665522464
911306857500
104007044404
111776965850
12939b4b530
134bb219bbc
142a0269216
15186bb7639
hexeed6a534

4007044404 has 120 divisors (see below), whose sum is σ = 11453527008. Its totient is φ = 1211492160.

The previous prime is 4007044367. The next prime is 4007044409. The reversal of 4007044404 is 4044407004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007044409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2005534 + ... + 2007530.

Almost surely, 24007044404 is an apocalyptic number.

4007044404 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 4007044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726763504).

4007044404 is an abundant number, since it is smaller than the sum of its proper divisors (7446482604).

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

4007044404 is a wasteful number, since it uses less digits than its factorization.

4007044404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4007044404 is about 63301.2196091039. The cubic root of 4007044404 is about 1588.3323633309.

The spelling of 4007044404 in words is "four billion, seven million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 563 594 891 1126 1188 1689 1782 1997 2252 3378 3564 3994 5067 5991 6193 6756 7988 10134 11982 12386 15201 17973 18579 20268 21967 23964 24772 30402 35946 37158 43934 45603 53919 55737 60804 65901 71892 74316 87868 91206 107838 111474 131802 161757 167211 182412 197703 215676 222948 263604 323514 334422 395406 501633 593109 647028 668844 790812 1003266 1124311 1186218 1779327 2006532 2248622 2372436 3372933 3558654 4497244 6745866 7117308 10118799 12367421 13491732 20237598 24734842 30356397 37102263 40475196 49469684 60712794 74204526 91069191 111306789 121425588 148409052 182138382 222613578 333920367 364276764 445227156 667840734 1001761101 1335681468 2003522202 4007044404