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48527440 = 24513291609
BaseRepresentation
bin1011100100011…
…1100001010000
310101022110010121
42321013201100
544410334230
64452040024
71126322263
oct271074120
9111273117
1048527440
1125435425
1214303014
13a091080
146632cda
1543d877a
hex2e47850

48527440 has 80 divisors (see below), whose sum is σ = 125773200. Its totient is φ = 17289216.

The previous prime is 48527393. The next prime is 48527443. The reversal of 48527440 is 4472584.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 197136 + 48330304 = 444^2 + 6952^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 48527396 and 48527405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48527443) 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 15 ways as a sum of consecutive naturals, for example, 29356 + ... + 30964.

It is an arithmetic number, because the mean of its divisors is an integer number (1572165).

Almost surely, 248527440 is an apocalyptic number.

48527440 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 48527440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62886600).

48527440 is an abundant number, since it is smaller than the sum of its proper divisors (77245760).

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

48527440 is a wasteful number, since it uses less digits than its factorization.

48527440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 48527440 is about 6966.1639372039. The cubic root of 48527440 is about 364.7504142232.

The spelling of 48527440 in words is "forty-eight million, five hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1609 1885 2320 3016 3218 3770 6032 6436 7540 8045 12872 15080 16090 20917 25744 30160 32180 41834 46661 64360 83668 93322 104585 128720 167336 186644 209170 233305 334672 373288 418340 466610 606593 746576 836680 933220 1213186 1673360 1866440 2426372 3032965 3732880 4852744 6065930 9705488 12131860 24263720 48527440