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48605680 = 2451913181
BaseRepresentation
bin1011100101101…
…0100111110000
310101110102110101
42321122213300
544420340210
64453442144
71130066344
oct271324760
9111412411
1048605680
1125489192
1214340354
13a0ba876
146653624
154401a3a
hex2e5a9f0

48605680 has 40 divisors (see below), whose sum is σ = 113635584. Its totient is φ = 19334400.

The previous prime is 48605657. The next prime is 48605719. The reversal of 48605680 is 8650684.

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13690 + ... + 16870.

Almost surely, 248605680 is an apocalyptic number.

48605680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48605680 is an abundant number, since it is smaller than the sum of its proper divisors (65029904).

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

48605680 is a wasteful number, since it uses less digits than its factorization.

48605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 48605680 is about 6971.7773917416. Note that the first 3 decimals coincide. The cubic root of 48605680 is about 364.9463360149.

The spelling of 48605680 in words is "forty-eight million, six hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3181 3820 6362 7640 12724 15280 15905 25448 31810 50896 63620 127240 254480 607571 1215142 2430284 3037855 4860568 6075710 9721136 12151420 24302840 48605680