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48857760 = 25325737131
BaseRepresentation
bin1011101001100…
…0001010100000
310101221020020200
42322120022200
5100001422020
64503105200
71132166310
oct272301240
9111836220
1048857760
1125640616
1214442200
13a178523
1466bb440
154451590
hex2e982a0

48857760 has 288 divisors, whose sum is σ = 197188992. Its totient is φ = 10782720.

The previous prime is 48857749. The next prime is 48857803. The reversal of 48857760 is 6775884.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 372895 + ... + 373025.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 248857760 is an apocalyptic number.

48857760 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 48857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

48857760 is an abundant number, since it is smaller than the sum of its proper divisors (148331232).

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

48857760 is a wasteful number, since it uses less digits than its factorization.

48857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 48857760 is about 6989.8326160216. The cubic root of 48857760 is about 365.5761464422.

The spelling of 48857760 in words is "forty-eight million, eight hundred fifty-seven thousand, seven hundred sixty".