Search a number
-
+
891398144 = 2117134783
BaseRepresentation
bin110101001000011…
…010100000000000
32022010022201101002
4311020122200000
53311144220034
6224241431132
731042521260
oct6510324000
92263281332
10891398144
1141819768a
1220a63b4a8
131128a4330
148655b7a0
15533cce7e
hex3521a800

891398144 has 96 divisors (see below), whose sum is σ = 2194133760. Its totient is φ = 352567296.

The previous prime is 891398093. The next prime is 891398147. The reversal of 891398144 is 441893198.

It is a super-2 number, since 2×8913981442 = 1589181302253289472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (891398147) 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, 183977 + ... + 188759.

It is an arithmetic number, because the mean of its divisors is an integer number (22855560).

Almost surely, 2891398144 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 891398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097066880).

891398144 is an abundant number, since it is smaller than the sum of its proper divisors (1302735616).

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

891398144 is a wasteful number, since it uses less digits than its factorization.

891398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4805 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 891398144 is about 29856.2915312669. The cubic root of 891398144 is about 962.4036065607.

The spelling of 891398144 in words is "eight hundred ninety-one million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4783 5824 6656 7168 9566 11648 13312 14336 19132 23296 26624 33481 38264 46592 62179 66962 76528 93184 124358 133924 153056 186368 248716 267848 306112 435253 497432 535696 612224 870506 994864 1071392 1224448 1741012 1989728 2142784 2448896 3482024 3979456 4285568 4897792 6964048 7958912 8571136 9795584 13928096 15917824 17142272 27856192 31835648 34284544 55712384 63671296 68569088 111424768 127342592 222849536 445699072 891398144