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95293328 = 24132411901
BaseRepresentation
bin1011010111000…
…00111110010000
320122022101212112
411223200332100
5143343341303
613242244452
72234660054
oct553407620
9218271775
1095293328
1149877319
1227ab6728
13169863b0
14c927c64
1585750d8
hex5ae0f90

95293328 has 40 divisors (see below), whose sum is σ = 199763256. Its totient is φ = 43776000.

The previous prime is 95293327. The next prime is 95293351. The reversal of 95293328 is 82339259.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 94633984 = 812^2 + 9728^2 .

It is a super-2 number, since 2×952933282 = 18161636722631168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95293327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49178 + ... + 51078.

Almost surely, 295293328 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 95293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99881628).

95293328 is an abundant number, since it is smaller than the sum of its proper divisors (104469928).

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

95293328 is a wasteful number, since it uses less digits than its factorization.

95293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 95293328 is about 9761.8301562770. The cubic root of 95293328 is about 456.7594045650.

The spelling of 95293328 in words is "ninety-five million, two hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1901 1928 3133 3802 3856 6266 7604 12532 15208 24713 25064 30416 49426 50128 98852 197704 395408 458141 916282 1832564 3665128 5955833 7330256 11911666 23823332 47646664 95293328