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48107760 = 2435414889
BaseRepresentation
bin1011011110000…
…1000011110000
310100112010102220
42313201003300
544303422020
64435041040
71122623601
oct267410360
9110463386
1048107760
1125179088
1214140180
139c7503c
146563da8
154354240
hex2de10f0

48107760 has 80 divisors (see below), whose sum is σ = 152802720. Its totient is φ = 12513280.

The previous prime is 48107747. The next prime is 48107767. The reversal of 48107760 is 6770184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48107767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7396 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (1910034).

Almost surely, 248107760 is an apocalyptic number.

48107760 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 48107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76401360).

48107760 is an abundant number, since it is smaller than the sum of its proper divisors (104694960).

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

48107760 is a wasteful number, since it uses less digits than its factorization.

48107760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 48107760 is about 6935.9757785044. The cubic root of 48107760 is about 363.6958776834.

The spelling of 48107760 in words is "forty-eight million, one hundred seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4889 4920 9778 9840 14667 19556 24445 29334 39112 48890 58668 73335 78224 97780 117336 146670 195560 200449 234672 293340 391120 400898 586680 601347 801796 1002245 1173360 1202694 1603592 2004490 2405388 3006735 3207184 4008980 4810776 6013470 8017960 9621552 12026940 16035920 24053880 48107760