Search a number
-
+
891265128 = 2331331432143
BaseRepresentation
bin110101000111111…
…010000001101000
32022010001221220120
4311013322001220
53311130441003
6224234523240
731041425415
oct6507720150
92263057816
10891265128
11418106756
1220a596520
13112858920
148652510c
15533a3853
hex351fa068

891265128 has 128 divisors (see below), whose sum is σ = 2535751680. Its totient is φ = 259096320.

The previous prime is 891265087. The next prime is 891265163. The reversal of 891265128 is 821562198.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 891265128.

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, 414825 + ... + 416967.

It is an arithmetic number, because the mean of its divisors is an integer number (19810560).

Almost surely, 2891265128 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 891265128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267875840).

891265128 is an abundant number, since it is smaller than the sum of its proper divisors (1644486552).

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

891265128 is a wasteful number, since it uses less digits than its factorization.

891265128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2235 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 891265128 is about 29854.0638439727. The cubic root of 891265128 is about 962.3557336594.

The spelling of 891265128 in words is "eight hundred ninety-one million, two hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 43 52 62 78 86 93 104 124 129 156 172 186 248 258 312 344 372 403 516 559 744 806 1032 1118 1209 1333 1612 1677 2143 2236 2418 2666 3224 3354 3999 4286 4472 4836 5332 6429 6708 7998 8572 9672 10664 12858 13416 15996 17144 17329 25716 27859 31992 34658 51432 51987 55718 66433 69316 83577 92149 103974 111436 132866 138632 167154 184298 199299 207948 222872 265732 276447 334308 368596 398598 415896 531464 552894 668616 737192 797196 863629 1105788 1197937 1594392 1727258 2211576 2395874 2590887 2856619 3454516 3593811 4791748 5181774 5713238 6909032 7187622 8569857 9583496 10363548 11426476 14375244 17139714 20727096 22852952 28750488 34279428 37136047 68558856 74272094 111408141 148544188 222816282 297088376 445632564 891265128