Search a number
-
+
88723728 = 2433593
BaseRepresentation
bin1010100100111…
…01000100010000
320011221122002000
411102131010100
5140203124403
612445354000
72125065522
oct522350420
9204848060
1088723728
114609a4a5
1225868900
13154c6062
14bad7a12
157bc87a3
hex549d110

88723728 has 80 divisors (see below), whose sum is σ = 259060800. Its totient is φ = 29073312.

The previous prime is 88723727. The next prime is 88723729. The reversal of 88723728 is 82732788.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (88723727) and next prime (88723729).

Its product of digits (301056) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (88723721) 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, 1503763 + ... + 1503821.

It is an arithmetic number, because the mean of its divisors is an integer number (3238260).

Almost surely, 288723728 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 88723728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129530400).

88723728 is an abundant number, since it is smaller than the sum of its proper divisors (170337072).

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

88723728 is an frugal number, since it uses more digits than its factorization.

88723728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 64 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 88723728 is about 9419.3273645203. The cubic root of 88723728 is about 446.0120516628.

The spelling of 88723728 in words is "eighty-eight million, seven hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 3481 4248 6372 6962 8496 10443 12744 13924 20886 25488 27848 31329 41772 55696 62658 83544 93987 125316 167088 187974 205379 250632 375948 410758 501264 616137 751896 821516 1232274 1503792 1643032 1848411 2464548 3286064 3696822 4929096 5545233 7393644 9858192 11090466 14787288 22180932 29574576 44361864 88723728