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95238048 = 2531317573
BaseRepresentation
bin1011010110100…
…11011110100000
320122012121001010
411223103132200
5143340104143
613241140520
72234336643
oct553233640
9218177033
1095238048
1149839834
1227a8a740
1316967199
14c911a5a
158563a33
hex5ad37a0

95238048 has 48 divisors (see below), whose sum is σ = 251941536. Its totient is φ = 31499520.

The previous prime is 95238043. The next prime is 95238053. The reversal of 95238048 is 84083259.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95238043) and next prime (95238053).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 95237997 and 95238015.

It is not an unprimeable number, because it can be changed into a prime (95238041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8790 + ... + 16362.

It is an arithmetic number, because the mean of its divisors is an integer number (5248782).

Almost surely, 295238048 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 95238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125970768).

95238048 is an abundant number, since it is smaller than the sum of its proper divisors (156703488).

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

95238048 is a wasteful number, since it uses less digits than its factorization.

95238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 95238048 is about 9758.9983092529. The cubic root of 95238048 is about 456.6710648933.

It can be divided in two parts, 9523 and 8048, that added together give a palindrome (17571).

The spelling of 95238048 in words is "ninety-five million, two hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 7573 12576 15146 22719 30292 45438 60584 90876 121168 181752 242336 363504 727008 992063 1984126 2976189 3968252 5952378 7936504 11904756 15873008 23809512 31746016 47619024 95238048