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95004000 = 25325371329
BaseRepresentation
bin1011010100110…
…10010101100000
320121202200222200
411222122111200
5143310112000
613232133200
72232343410
oct552322540
9217680880
1095004000
1149699a03
1227997200
13168b47b0
14c890640
158519500
hex5a9a560

95004000 has 576 divisors, whose sum is σ = 429287040. Its totient is φ = 19353600.

The previous prime is 95003999. The next prime is 95004017. The reversal of 95004000 is 40059.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275986 + ... + 3276014.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 295004000 is an apocalyptic number.

95004000 is a gapful number since it is divisible by the number (90) 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 95004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

95004000 is an abundant number, since it is smaller than the sum of its proper divisors (334283040).

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

95004000 is a wasteful number, since it uses less digits than its factorization.

95004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95004000 is about 9746.9995383195. Note that the first 3 decimals coincide. The cubic root of 95004000 is about 456.2966675227.

Adding to 95004000 its reverse (40059), we get a palindrome (95044059).

The spelling of 95004000 in words is "ninety-five million, four thousand".