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88885000 = 235429613
BaseRepresentation
bin1010100110001…
…00011100001000
320012020211022001
411103010130020
5140223310000
612453040344
72126336641
oct523043410
9205224261
1088885000
114619a686
12259260b4
1315551599
14bb3a6c8
157c0b46a
hex54c4708

88885000 has 80 divisors (see below), whose sum is σ = 215790300. Its totient is φ = 34272000.

The previous prime is 88884997. The next prime is 88885003. The reversal of 88885000 is 58888.

It is an interprime number because it is at equal distance from previous prime (88884997) and next prime (88885003).

It can be written as a sum of positive squares in 10 ways, for example, as 31337604 + 57547396 = 5598^2 + 7586^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88885003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144694 + ... + 145306.

Almost surely, 288885000 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 88885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107895150).

88885000 is an abundant number, since it is smaller than the sum of its proper divisors (126905300).

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

88885000 is a wasteful number, since it uses less digits than its factorization.

88885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 88885000 is about 9427.8841740870. The cubic root of 88885000 is about 446.2821249173.

The spelling of 88885000 in words is "eighty-eight million, eight hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 613 625 725 1000 1160 1226 1250 1450 2452 2500 2900 3065 3625 4904 5000 5800 6130 7250 12260 14500 15325 17777 18125 24520 29000 30650 35554 36250 61300 71108 72500 76625 88885 122600 142216 145000 153250 177770 306500 355540 383125 444425 613000 711080 766250 888850 1532500 1777700 2222125 3065000 3555400 4444250 8888500 11110625 17777000 22221250 44442500 88885000