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48871440 = 24325103659
BaseRepresentation
bin1011101001101…
…1100000010000
310101221221000100
42322123200100
5100002341230
64503252400
71132254222
oct272334020
9111857010
1048871440
112564a922
121444a100
13a181817
1466c2412
154455660
hex2e9b810

48871440 has 120 divisors (see below), whose sum is σ = 165971520. Its totient is φ = 12886272.

The previous prime is 48871429. The next prime is 48871451. The reversal of 48871440 is 4417884.

48871440 = T152 + T153 + ... + T666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48871429) and next prime (48871451).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48871395 and 48871404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73831 + ... + 74489.

It is an arithmetic number, because the mean of its divisors is an integer number (1383096).

Almost surely, 248871440 is an apocalyptic number.

48871440 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 48871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

48871440 is an abundant number, since it is smaller than the sum of its proper divisors (117100080).

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

48871440 is a wasteful number, since it uses less digits than its factorization.

48871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48871440 is about 6990.8111117380. The cubic root of 48871440 is about 365.6102632675.

The spelling of 48871440 in words is "forty-eight million, eight hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 659 720 824 927 1030 1236 1318 1545 1648 1854 1977 2060 2472 2636 3090 3295 3708 3954 4120 4635 4944 5272 5931 6180 6590 7416 7908 8240 9270 9885 10544 11862 12360 13180 14832 15816 18540 19770 23724 24720 26360 29655 31632 37080 39540 47448 52720 59310 67877 74160 79080 94896 118620 135754 158160 203631 237240 271508 339385 407262 474480 543016 610893 678770 814524 1018155 1086032 1221786 1357540 1629048 2036310 2443572 2715080 3054465 3258096 4072620 4887144 5430160 6108930 8145240 9774288 12217860 16290480 24435720 48871440