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48006400 = 285213577
BaseRepresentation
bin1011011100100…
…0010100000000
310100022222101211
42313020110000
544242201100
64432535504
71122022231
oct267102400
9110288354
1048006400
1125109a12
12140b1594
139c3ab70
146539088
1543341ba
hex2dc8500

48006400 has 108 divisors (see below), whose sum is σ = 128185372. Its totient is φ = 17694720.

The previous prime is 48006379. The next prime is 48006401. The reversal of 48006400 is 460084.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 47997184 = 96^2 + 6928^2 .

It is a super-2 number, since 2×480064002 = 4609228881920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48006401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82912 + ... + 83488.

Almost surely, 248006400 is an apocalyptic number.

48006400 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 48006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64092686).

48006400 is an abundant number, since it is smaller than the sum of its proper divisors (80178972).

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

48006400 is a wasteful number, since it uses less digits than its factorization.

48006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48006400 is about 6928.6650950959. The cubic root of 48006400 is about 363.4402700317.

Adding to 48006400 its reverse (460084), we get a palindrome (48466484).

The spelling of 48006400 in words is "forty-eight million, six thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 577 640 650 800 832 1040 1154 1280 1300 1600 1664 2080 2308 2600 2885 3200 3328 4160 4616 5200 5770 6400 7501 8320 9232 10400 11540 14425 15002 16640 18464 20800 23080 28850 30004 36928 37505 41600 46160 57700 60008 73856 75010 83200 92320 115400 120016 147712 150020 184640 187525 230800 240032 300040 369280 375050 461600 480064 600080 738560 750100 923200 960128 1200160 1500200 1846400 1920256 2400320 3000400 3692800 4800640 6000800 9601280 12001600 24003200 48006400