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95427072 = 29351359
BaseRepresentation
bin1011011000000…
…01101000000000
320122120012100000
411230001220000
5143412131242
613245200000
72236055016
oct554015000
9218505300
1095427072
1149958854
1227b60000
1316a02230
14c9608b6
15859ea4c
hex5b01a00

95427072 has 240 divisors, whose sum is σ = 312792480. Its totient is φ = 28864512.

The previous prime is 95427047. The next prime is 95427091. The reversal of 95427072 is 27072459.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617379 + ... + 1617437.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 295427072 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 95427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

95427072 is an abundant number, since it is smaller than the sum of its proper divisors (217365408).

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

95427072 is an equidigital number, since it uses as much as digits as its factorization.

95427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 95427072 is about 9768.6781091405. The cubic root of 95427072 is about 456.9729916510.

The spelling of 95427072 in words is "ninety-five million, four hundred twenty-seven thousand, seventy-two".