Search a number
-
+
91427112 = 23327283641
BaseRepresentation
bin1010111001100…
…01000100101000
320101000222102100
411130301010220
5141401131422
613023333400
72160055230
oct534610450
9211028370
1091427112
11476765a7
1226751260
1315c316aa
14c1dccc0
15805e7ac
hex5731128

91427112 has 96 divisors (see below), whose sum is σ = 284431680. Its totient is φ = 25989120.

The previous prime is 91427009. The next prime is 91427117. The reversal of 91427112 is 21172419.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91427117) 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 23 ways as a sum of consecutive naturals, for example, 142312 + ... + 142952.

It is an arithmetic number, because the mean of its divisors is an integer number (2962830).

Almost surely, 291427112 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 91427112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142215840).

91427112 is an abundant number, since it is smaller than the sum of its proper divisors (193004568).

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

91427112 is a wasteful number, since it uses less digits than its factorization.

91427112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 91427112 is about 9561.7525590239. The cubic root of 91427112 is about 450.4967551338.

The spelling of 91427112 in words is "ninety-one million, four hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 641 849 1132 1282 1698 1923 1981 2264 2547 2564 3396 3846 3962 4487 5094 5128 5769 5943 6792 7692 7924 8974 10188 11538 11886 13461 15384 15848 17829 17948 20376 23076 23772 26922 35658 35896 40383 46152 47544 53844 71316 80766 107688 142632 161532 181403 323064 362806 544209 725612 1088418 1269821 1451224 1632627 2176836 2539642 3265254 3809463 4353672 5079284 6530508 7618926 10158568 11428389 13061016 15237852 22856778 30475704 45713556 91427112