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48080760 = 233572131737
BaseRepresentation
bin1011011101101…
…0011101111000
310100110202101220
42313122131320
544302041020
64434312040
71122452100
oct267323570
9110422356
1048080760
112515a872
1214128620
139c65970
146558200
15434b240
hex2dda778

48080760 has 384 divisors, whose sum is σ = 196499520. Its totient is φ = 9289728.

The previous prime is 48080759. The next prime is 48080761. The reversal of 48080760 is 6708084.

It is an interprime number because it is at equal distance from previous prime (48080759) and next prime (48080761).

It is a super-3 number, since 3×480807603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48080761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299462 + ... + 1299498.

Almost surely, 248080760 is an apocalyptic number.

48080760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48080760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

48080760 is an abundant number, since it is smaller than the sum of its proper divisors (148418760).

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

48080760 is a wasteful number, since it uses less digits than its factorization.

48080760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 48080760 is about 6934.0291317531. The cubic root of 48080760 is about 363.6278247237.

The spelling of 48080760 in words is "forty-eight million, eighty thousand, seven hundred sixty".