Search a number
-
+
88326414 = 232116171103
BaseRepresentation
bin1010100001111…
…00000100001110
320011012110001200
411100330010032
5140102421124
612433050330
72121522261
oct520740416
9204173050
1088326414
1145948a40
12256b69a6
13153b7267
14ba32cd8
157b4abc9
hex543c10e

88326414 has 96 divisors (see below), whose sum is σ = 217271808. Its totient is φ = 25704000.

The previous prime is 88326389. The next prime is 88326479. The reversal of 88326414 is 41462388.

88326414 is a `hidden beast` number, since 8 + 8 + 3 + 2 + 641 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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, 857487 + ... + 857589.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 288326414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88326414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108635904).

88326414 is an abundant number, since it is smaller than the sum of its proper divisors (128945394).

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

88326414 is a wasteful number, since it uses less digits than its factorization.

88326414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 88326414 is about 9398.2133408430. The cubic root of 88326414 is about 445.3452927504.

The spelling of 88326414 in words is "eighty-eight million, three hundred twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 71 99 103 122 142 183 198 206 213 309 366 426 549 618 639 671 781 927 1098 1133 1278 1342 1562 1854 2013 2266 2343 3399 4026 4331 4686 6039 6283 6798 7029 7313 8662 10197 12078 12566 12993 14058 14626 18849 20394 21939 25986 37698 38979 43878 47641 56547 65817 69113 77958 80443 95282 113094 131634 138226 142923 160886 207339 241329 285846 414678 428769 446093 482658 622017 723987 857538 892186 1244034 1338279 1447974 2676558 4014837 4907023 8029674 9814046 14721069 29442138 44163207 88326414