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88900064 = 2511318147
BaseRepresentation
bin1010100110010…
…00000111100000
320012021120221222
411103020013200
5140224300224
612453234212
72126431601
oct523100740
9205246858
1088900064
11461aaa30
1225932968
13155583b6
14bb41da8
157c10b5e
hex54c81e0

88900064 has 48 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 39100800.

The previous prime is 88900061. The next prime is 88900067. The reversal of 88900064 is 46000988.

It is an interprime number because it is at equal distance from previous prime (88900061) and next prime (88900067).

It is a junction number, because it is equal to n+sod(n) for n = 88899997 and 88900033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88900061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6839 + ... + 14985.

It is an arithmetic number, because the mean of its divisors is an integer number (4106592).

Almost surely, 288900064 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 88900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

88900064 is an abundant number, since it is smaller than the sum of its proper divisors (108216352).

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

88900064 is a wasteful number, since it uses less digits than its factorization.

88900064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 88900064 is about 9428.6830469584. The cubic root of 88900064 is about 446.3073350734.

The spelling of 88900064 in words is "eighty-eight million, nine hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 8147 10912 16294 32588 65176 89617 130352 179234 252557 260704 358468 505114 716936 1010228 1433872 2020456 2778127 2867744 4040912 5556254 8081824 11112508 22225016 44450032 88900064