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48519040 = 275471613
BaseRepresentation
bin1011100100010…
…1011110000000
310101022000121111
42321011132000
544410102130
64451533104
71126255633
oct271053600
9111260544
1048519040
112542a089
12142ba194
13a08a2bb
14662dc1a
1543d602a
hex2e45780

48519040 has 64 divisors (see below), whose sum is σ = 118532160. Its totient is φ = 18982912.

The previous prime is 48518971. The next prime is 48519047. The reversal of 48519040 is 4091584.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 48518993 and 48519011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48519047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29274 + ... + 30886.

It is an arithmetic number, because the mean of its divisors is an integer number (1852065).

Almost surely, 248519040 is an apocalyptic number.

48519040 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 48519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59266080).

48519040 is an abundant number, since it is smaller than the sum of its proper divisors (70013120).

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

48519040 is a wasteful number, since it uses less digits than its factorization.

48519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 48519040 is about 6965.5609967898. The cubic root of 48519040 is about 364.7293671600.

The spelling of 48519040 in words is "forty-eight million, five hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1613 1880 3008 3226 3760 6016 6452 7520 8065 12904 15040 16130 25808 30080 32260 51616 64520 75811 103232 129040 151622 206464 258080 303244 379055 516160 606488 758110 1032320 1212976 1516220 2425952 3032440 4851904 6064880 9703808 12129760 24259520 48519040