Search a number
-
+
88927872 = 2731137569
BaseRepresentation
bin1010100110011…
…10111010000000
320012100000002220
411103032322000
5140231142442
612454011040
72126605635
oct523167200
9205300086
1088927872
1146219910
1225946a80
1315567c57
14bb4c18c
157c18eec
hex54cee80

88927872 has 128 divisors (see below), whose sum is σ = 265118400. Its totient is φ = 26173440.

The previous prime is 88927843. The next prime is 88927873. The reversal of 88927872 is 27872988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (88927873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156004 + ... + 156572.

Almost surely, 288927872 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 88927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132559200).

88927872 is an abundant number, since it is smaller than the sum of its proper divisors (176190528).

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

88927872 is a wasteful number, since it uses less digits than its factorization.

88927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 88927872 is about 9430.1575808679. The cubic root of 88927872 is about 446.3538653007.

The spelling of 88927872 in words is "eighty-eight million, nine hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 569 592 704 814 888 1056 1138 1184 1221 1408 1628 1707 1776 2112 2276 2368 2442 3256 3414 3552 4224 4552 4736 4884 6259 6512 6828 7104 9104 9768 12518 13024 13656 14208 18208 18777 19536 21053 25036 26048 27312 36416 37554 39072 42106 50072 52096 54624 63159 72832 75108 78144 84212 100144 109248 126318 150216 156288 168424 200288 218496 231583 252636 300432 336848 400576 463166 505272 600864 673696 694749 801152 926332 1010544 1201728 1347392 1389498 1852664 2021088 2403456 2694784 2778996 3705328 4042176 5557992 7410656 8084352 11115984 14821312 22231968 29642624 44463936 88927872