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95087520 = 25345112329
BaseRepresentation
bin1011010101011…
…10101110100000
320121220221120000
411222232232200
5143320300040
613234020000
72233142043
oct552565640
9217827500
1095087520
1149746730
1227a17600
1316913808
14c8b2c5a
158534130
hex5aaeba0

95087520 has 480 divisors, whose sum is σ = 395176320. Its totient is φ = 21288960.

The previous prime is 95087519. The next prime is 95087557. The reversal of 95087520 is 2578059.

95087520 is a `hidden beast` number, since 9 + 50 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278866 + ... + 3278894.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 295087520 is an apocalyptic number.

95087520 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 95087520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

95087520 is an abundant number, since it is smaller than the sum of its proper divisors (300088800).

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

95087520 is a wasteful number, since it uses less digits than its factorization.

95087520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95087520 is about 9751.2829925092. The cubic root of 95087520 is about 456.4303416676.

The spelling of 95087520 in words is "ninety-five million, eighty-seven thousand, five hundred twenty".