Search a number
-
+
88902000 = 24325311449
BaseRepresentation
bin1010100110010…
…00100101110000
320012021200121200
411103020211300
5140224331000
612453251200
72126440335
oct523104560
9205250550
1088902000
1146201430
1225933b00
1315559245
14bb4298c
157c11500
hex54c8970

88902000 has 240 divisors, whose sum is σ = 339487200. Its totient is φ = 21504000.

The previous prime is 88901999. The next prime is 88902001. The reversal of 88902000 is 20988.

It is an interprime number because it is at equal distance from previous prime (88901999) and next prime (88902001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88902001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197776 + ... + 198224.

It is an arithmetic number, because the mean of its divisors is an integer number (1414530).

Almost surely, 288902000 is an apocalyptic number.

88902000 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 88902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

88902000 is an abundant number, since it is smaller than the sum of its proper divisors (250585200).

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

88902000 is a wasteful number, since it uses less digits than its factorization.

88902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

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

The square root of 88902000 is about 9428.7857118507. The cubic root of 88902000 is about 446.3105748338.

Adding to 88902000 its reverse (20988), we get a palindrome (88922988).

The spelling of 88902000 in words is "eighty-eight million, nine hundred two thousand".