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48440600 = 23521331601
BaseRepresentation
bin1011100011001…
…0010100011000
310101011001000022
42320302110120
544400044400
64450130012
71125511145
oct270622430
9111131008
1048440600
112538615a
1214280908
13a0606a0
14660d3cc
1543bcb85
hex2e32518

48440600 has 96 divisors (see below), whose sum is σ = 125408640. Its totient is φ = 17280000.

The previous prime is 48440573. The next prime is 48440611. The reversal of 48440600 is 604484.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 48440600.

It is a congruent number.

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, 80300 + ... + 80900.

It is an arithmetic number, because the mean of its divisors is an integer number (1306340).

Almost surely, 248440600 is an apocalyptic number.

48440600 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 48440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62704320).

48440600 is an abundant number, since it is smaller than the sum of its proper divisors (76968040).

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

48440600 is a wasteful number, since it uses less digits than its factorization.

48440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 48440600 is about 6959.9281605488. The cubic root of 48440600 is about 364.5327103227.

The spelling of 48440600 in words is "forty-eight million, four hundred forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 601 620 650 775 806 1202 1240 1300 1550 1612 2015 2404 2600 3005 3100 3224 4030 4808 6010 6200 7813 8060 10075 12020 15025 15626 16120 18631 20150 24040 30050 31252 37262 39065 40300 60100 62504 74524 78130 80600 93155 120200 149048 156260 186310 195325 242203 312520 372620 390650 465775 484406 745240 781300 931550 968812 1211015 1562600 1863100 1937624 2422030 3726200 4844060 6055075 9688120 12110150 24220300 48440600