Search a number
-
+
93095772 = 223711531901
BaseRepresentation
bin1011000110010…
…00011101011100
320111011202101120
411203020131130
5142313031042
613123210540
72210205150
oct543103534
9214152346
1093095772
1148606260
1227216a50
1316397073
14c515060
15828ddec
hex58c875c

93095772 has 96 divisors (see below), whose sum is σ = 276079104. Its totient is φ = 23712000.

The previous prime is 93095749. The next prime is 93095773. The reversal of 93095772 is 27759039.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93095773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48022 + ... + 49922.

It is an arithmetic number, because the mean of its divisors is an integer number (2875824).

Almost surely, 293095772 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 93095772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138039552).

93095772 is an abundant number, since it is smaller than the sum of its proper divisors (182983332).

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

93095772 is a wasteful number, since it uses less digits than its factorization.

93095772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 93095772 is about 9648.6150301481. The cubic root of 93095772 is about 453.2209595073.

The spelling of 93095772 in words is "ninety-three million, ninety-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 742 924 1113 1166 1484 1749 1901 2226 2332 3498 3802 4081 4452 5703 6996 7604 8162 11406 12243 13307 16324 20911 22812 24486 26614 39921 41822 48972 53228 62733 79842 83644 100753 125466 146377 159684 201506 250932 292754 302259 403012 439131 585508 604518 705271 878262 1108283 1209036 1410542 1756524 2115813 2216566 2821084 3324849 4231626 4433132 6649698 7757981 8463252 13299396 15515962 23273943 31031924 46547886 93095772