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48536560 = 2451016007
BaseRepresentation
bin1011100100100…
…1101111110000
310101022220122101
42321021233300
544411132220
64452150144
71126361002
oct271115760
9111286571
1048536560
1125441266
1214308354
13a095277
146636372
1543db30a
hex2e49bf0

48536560 has 40 divisors (see below), whose sum is σ = 113983776. Its totient is φ = 19219200.

The previous prime is 48536557. The next prime is 48536561. The reversal of 48536560 is 6563584.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48536561) 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, 5077 + ... + 11083.

Almost surely, 248536560 is an apocalyptic number.

48536560 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 48536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56991888).

48536560 is an abundant number, since it is smaller than the sum of its proper divisors (65447216).

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

48536560 is a wasteful number, since it uses less digits than its factorization.

48536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 48536560 is about 6966.8184991429. The cubic root of 48536560 is about 364.7732625705.

The spelling of 48536560 in words is "forty-eight million, five hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 6007 8080 12014 24028 30035 48056 60070 96112 120140 240280 480560 606707 1213414 2426828 3033535 4853656 6067070 9707312 12134140 24268280 48536560