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48871040 = 275194019
BaseRepresentation
bin1011101001101…
…1011010000000
310101221220110112
42322123122000
5100002333130
64503250452
71132253111
oct272333200
9111856415
1048871040
112564a599
1214449a28
13a18159a
1466c2208
154455495
hex2e9b680

48871040 has 64 divisors (see below), whose sum is σ = 123012000. Its totient is φ = 18514944.

The previous prime is 48871037. The next prime is 48871099. The reversal of 48871040 is 4017884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48870988 and 48871006.

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, 10151 + ... + 14169.

Almost surely, 248871040 is an apocalyptic number.

48871040 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 48871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61506000).

48871040 is an abundant number, since it is smaller than the sum of its proper divisors (74140960).

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

48871040 is a wasteful number, since it uses less digits than its factorization.

48871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 48871040 is about 6990.7825026960. The cubic root of 48871040 is about 365.6092657899.

The spelling of 48871040 in words is "forty-eight million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 4019 6080 8038 12160 16076 20095 32152 40190 64304 76361 80380 128608 152722 160760 257216 305444 321520 381805 514432 610888 643040 763610 1221776 1286080 1527220 2443552 2572160 3054440 4887104 6108880 9774208 12217760 24435520 48871040