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48760080 = 24351721937
BaseRepresentation
bin1011101000000…
…0010100010000
310101202021020220
42322000110100
544440310310
64501033040
71131311445
oct272002420
9111667226
1048760080
1125584196
12143b5780
13a142c25
1466939cc
154432670
hex2e80510

48760080 has 240 divisors, whose sum is σ = 173590080. Its totient is φ = 11280384.

The previous prime is 48760037. The next prime is 48760091. The reversal of 48760080 is 8006784.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317822 + ... + 1317858.

It is an arithmetic number, because the mean of its divisors is an integer number (723292).

Almost surely, 248760080 is an apocalyptic number.

48760080 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 48760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86795040).

48760080 is an abundant number, since it is smaller than the sum of its proper divisors (124830000).

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

48760080 is a wasteful number, since it uses less digits than its factorization.

48760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

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

The square root of 48760080 is about 6982.8418283676. The cubic root of 48760080 is about 365.3323550628.

The spelling of 48760080 in words is "forty-eight million, seven hundred sixty thousand, eighty".