Search a number
-
+
88916772 = 22372376167
BaseRepresentation
bin1010100110011…
…00001100100100
320012022102212210
411103030030210
5140230314042
612453443420
72126531400
oct523141444
9205272783
1088916772
114621153a
1225940570
1315562b99
14bb48100
157c15a9c
hex54cc324

88916772 has 144 divisors (see below), whose sum is σ = 255691968. Its totient is φ = 23950080.

The previous prime is 88916759. The next prime is 88916777. The reversal of 88916772 is 27761988.

It is not an unprimeable number, because it can be changed into a prime (88916777) 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 47 ways as a sum of consecutive naturals, for example, 1327083 + ... + 1327149.

Almost surely, 288916772 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 88916772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127845984).

88916772 is an abundant number, since it is smaller than the sum of its proper divisors (166775196).

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

88916772 is a wasteful number, since it uses less digits than its factorization.

88916772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 88916772 is about 9429.5690251464. The cubic root of 88916772 is about 446.3352931929.

The spelling of 88916772 in words is "eighty-eight million, nine hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 61 67 74 84 98 111 122 134 147 148 183 196 201 222 244 259 268 294 366 402 427 444 469 518 588 732 777 804 854 938 1036 1281 1407 1554 1708 1813 1876 2257 2479 2562 2814 2989 3108 3283 3626 4087 4514 4958 5124 5439 5628 5978 6566 6771 7252 7437 8174 8967 9028 9849 9916 10878 11956 12261 13132 13542 14874 15799 16348 17353 17934 19698 21756 24522 27084 28609 29748 31598 34706 35868 39396 47397 49044 52059 57218 63196 69412 85827 94794 104118 110593 114436 121471 151219 171654 189588 200263 208236 221186 242942 302438 331779 343308 364413 400526 442372 453657 485884 600789 604876 663558 728826 801052 907314 1058533 1201578 1327116 1457652 1814628 2117066 2403156 3175599 4234132 6351198 7409731 12702396 14819462 22229193 29638924 44458386 88916772