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95142906 = 232311671021
BaseRepresentation
bin1011010101111…
…00001111111010
320122000202112100
411222330033322
5143324033111
613235124230
72233462365
oct552741772
9218022470
1095142906
1149784301
1227a43676
1316932aa1
14c8c90dc
158545756
hex5abc3fa

95142906 has 48 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 30477600.

The previous prime is 95142877. The next prime is 95142913. The reversal of 95142906 is 60924159.

It is a Curzon number.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92676 + ... + 93696.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096).

Almost surely, 295142906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95142906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

95142906 is an abundant number, since it is smaller than the sum of its proper divisors (119133702).

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

95142906 is a wasteful number, since it uses less digits than its factorization.

95142906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 95142906 is about 9754.1225130711. The cubic root of 95142906 is about 456.5189440562.

The spelling of 95142906 in words is "ninety-five million, one hundred forty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 167 186 279 334 501 558 1002 1021 1503 2042 3006 3063 5177 6126 9189 10354 15531 18378 31062 31651 46593 63302 93186 94953 170507 189906 284859 341014 511521 569718 1023042 1534563 3069126 5285717 10571434 15857151 31714302 47571453 95142906