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48095460 = 22325731941
BaseRepresentation
bin1011011101111…
…0000011100100
310100111111120100
42313132003210
544303023320
64434504100
71122543000
oct267360344
9110444510
1048095460
112516a916
1214135030
139c6c56a
14655d700
154350790
hex2dde0e4

48095460 has 288 divisors, whose sum is σ = 183456000. Its totient is φ = 10160640.

The previous prime is 48095459. The next prime is 48095483. The reversal of 48095460 is 6459084.

It is a super-3 number, since 3×480954603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 1173040 + ... + 1173080.

It is an arithmetic number, because the mean of its divisors is an integer number (637000).

Almost surely, 248095460 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 48095460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

48095460 is an abundant number, since it is smaller than the sum of its proper divisors (135360540).

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

48095460 is a wasteful number, since it uses less digits than its factorization.

48095460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48095460 is about 6935.0890405243. The cubic root of 48095460 is about 363.6648789381.

The spelling of 48095460 in words is "forty-eight million, ninety-five thousand, four hundred sixty".