Search a number
-
+
91914284 = 227111072789
BaseRepresentation
bin1010111101010…
…00000000101100
320101221201200202
411132220000230
5142012224114
613042013032
72164154450
oct536500054
9211851622
1091914284
1147979620
1226947178
1316072367
14c2c8660
158108cde
hex57a802c

91914284 has 48 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 35463360.

The previous prime is 91914269. The next prime is 91914289. The reversal of 91914284 is 48241919.

It is not an unprimeable number, because it can be changed into a prime (91914289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31562 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 291914284 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 91914284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

91914284 is an abundant number, since it is smaller than the sum of its proper divisors (110572756).

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

91914284 is a wasteful number, since it uses less digits than its factorization.

91914284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2916 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 91914284 is about 9587.1937499980. The cubic root of 91914284 is about 451.2954997437.

The spelling of 91914284 in words is "ninety-one million, nine hundred fourteen thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2354 2789 2996 4708 5578 8239 11156 16478 19523 30679 32956 39046 61358 78092 122716 214753 298423 429506 596846 859012 1193692 2088961 3282653 4177922 6565306 8355844 13130612 22978571 45957142 91914284