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88271040 = 26351113643
BaseRepresentation
bin1010100001011…
…10100011000000
320011002122002210
411100232203000
5140044133130
612431542120
72121201654
oct520564300
9204078083
1088271040
1145910380
122568a940
1315397cb0
14ba1aa64
157b395b0
hex542e8c0

88271040 has 224 divisors, whose sum is σ = 329769216. Its totient is φ = 19722240.

The previous prime is 88271039. The next prime is 88271063. The reversal of 88271040 is 4017288.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88270989 and 88271007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136959 + ... + 137601.

It is an arithmetic number, because the mean of its divisors is an integer number (1472184).

Almost surely, 288271040 is an apocalyptic number.

88271040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608).

88271040 is an abundant number, since it is smaller than the sum of its proper divisors (241498176).

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

88271040 is a wasteful number, since it uses less digits than its factorization.

88271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 88271040 is about 9395.2668934948. The cubic root of 88271040 is about 445.2522073249.

The spelling of 88271040 in words is "eighty-eight million, two hundred seventy-one thousand, forty".