Search a number
-
+
89923272 = 23361239257
BaseRepresentation
bin1010101110000…
…01111011001000
320021012120112120
411113001323020
5141010021042
612531211240
72141222655
oct527017310
9207176476
1089923272
114683975a
1226146b20
131582604a
14bd2ac2c
157d63dec
hex55c1ec8

89923272 has 64 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 29245440.

The previous prime is 89923271. The next prime is 89923349. The reversal of 89923272 is 27232998.

It is not an unprimeable number, because it can be changed into a prime (89923271) 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 15 ways as a sum of consecutive naturals, for example, 349768 + ... + 350024.

It is an arithmetic number, because the mean of its divisors is an integer number (3599100).

Almost surely, 289923272 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 89923272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

89923272 is an abundant number, since it is smaller than the sum of its proper divisors (140419128).

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

89923272 is a wasteful number, since it uses less digits than its factorization.

89923272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 89923272 is about 9482.7881975714. The cubic root of 89923272 is about 448.0130868839.

The spelling of 89923272 in words is "eighty-nine million, nine hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 239 244 257 366 478 488 514 717 732 771 956 1028 1434 1464 1542 1912 2056 2868 3084 5736 6168 14579 15677 29158 31354 43737 47031 58316 61423 62708 87474 94062 116632 122846 125416 174948 184269 188124 245692 349896 368538 376248 491384 737076 1474152 3746803 7493606 11240409 14987212 22480818 29974424 44961636 89923272