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88920000 = 2632541319
BaseRepresentation
bin1010100110011…
…00111111000000
320012022121022100
411103030333000
5140230420000
612453510400
72126543661
oct523147700
9205277270
1088920000
1146213a04
1225942400
13155644b0
14bb49368
157c16a00
hex54ccfc0

88920000 has 420 divisors, whose sum is σ = 361040680. Its totient is φ = 20736000.

The previous prime is 88919983. The next prime is 88920031. The reversal of 88920000 is 2988.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679991 + ... + 4680009.

Almost surely, 288920000 is an apocalyptic number.

88920000 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 88920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180520340).

88920000 is an abundant number, since it is smaller than the sum of its proper divisors (272120680).

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

88920000 is a wasteful number, since it uses less digits than its factorization.

88920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88920000 is about 9429.7401873010. The cubic root of 88920000 is about 446.3406943220.

Adding to 88920000 its reverse (2988), we get a palindrome (88922988).

The spelling of 88920000 in words is "eighty-eight million, nine hundred twenty thousand".