Search a number
-
+
4115360788 = 2271171307613
BaseRepresentation
bin1111010101001011…
…0110110000010100
3101121210202222200221
43311102312300110
531412013021123
61520210244124
7203660663260
oct36522666024
911553688627
104115360788
111822017520
1296a286644
135077b2b36
142b07c30a0
1519146125d
hexf54b6c14

4115360788 has 96 divisors (see below), whose sum is σ = 9149995008. Its totient is φ = 1573084800.

The previous prime is 4115360771. The next prime is 4115360819. The reversal of 4115360788 is 8870635114.

4115360788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6713170 + ... + 6713782.

It is an arithmetic number, because the mean of its divisors is an integer number (95312448).

Almost surely, 24115360788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115360788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574997504).

4115360788 is an abundant number, since it is smaller than the sum of its proper divisors (5034634220).

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

4115360788 is a wasteful number, since it uses less digits than its factorization.

4115360788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 4115360788 is about 64151.0778397370. The cubic root of 4115360788 is about 1602.5169743862.

The spelling of 4115360788 in words is "four billion, one hundred fifteen million, three hundred sixty thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 307 308 497 613 614 781 994 1226 1228 1562 1988 2149 2452 3124 3377 4291 4298 5467 6743 6754 8582 8596 10934 13486 13508 17164 21797 21868 23639 26972 43523 43594 47201 47278 87046 87188 94402 94556 152579 174092 188191 188804 239767 304661 305158 376382 478753 479534 609322 610316 752764 957506 959068 1218644 1317337 1678369 1915012 2070101 2634674 3351271 3356738 4140202 5269348 6702542 6713476 8280404 13361561 13405084 14490707 26723122 28981414 53446244 57962828 93530927 146977171 187061854 293954342 374123708 587908684 1028840197 2057680394 4115360788