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88962048 = 2103272197
BaseRepresentation
bin1010100110101…
…11010000000000
320012101201222200
411103113100000
5140233241143
612454433200
72130110400
oct523272000
9205351880
1088962048
114624255a
1225962800
131557a686
14bb5a800
157c241d3
hex54d7400

88962048 has 198 divisors, whose sum is σ = 300331746. Its totient is φ = 25288704.

The previous prime is 88962019. The next prime is 88962067. The reversal of 88962048 is 84026988.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 451584 = 9408^2 + 672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88961994 and 88962012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451486 + ... + 451682.

It is an arithmetic number, because the mean of its divisors is an integer number (1516827).

Almost surely, 288962048 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 88962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150165873).

88962048 is an abundant number, since it is smaller than the sum of its proper divisors (211369698).

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

88962048 is a wasteful number, since it uses less digits than its factorization.

88962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88962048 is about 9431.9694655994. The cubic root of 88962048 is about 446.4110376120.

The spelling of 88962048 in words is "eighty-eight million, nine hundred sixty-two thousand, forty-eight".