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48550720 = 265173877
BaseRepresentation
bin1011100100110…
…1001101000000
310101100122001211
42321031031000
544412110340
64452335504
71126450201
oct271151500
9111318054
1048550720
1125450969
1214314594
13a09b84a
14663b5a8
1543e05ea
hex2e4d340

48550720 has 56 divisors (see below), whose sum is σ = 116412264. Its totient is φ = 19286016.

The previous prime is 48550709. The next prime is 48550729. The reversal of 48550720 is 2705584.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 25969216 = 4752^2 + 5096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48550729) 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, 54922 + ... + 55798.

Almost surely, 248550720 is an apocalyptic number.

48550720 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 48550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58206132).

48550720 is an abundant number, since it is smaller than the sum of its proper divisors (67861544).

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

48550720 is a wasteful number, since it uses less digits than its factorization.

48550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 48550720 is about 6967.8346708285. The cubic root of 48550720 is about 364.8087319650.

The spelling of 48550720 in words is "forty-eight million, five hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 320 346 692 865 877 1384 1730 1754 2768 3460 3508 4385 5536 6920 7016 8770 11072 13840 14032 17540 27680 28064 35080 55360 56128 70160 140320 151721 280640 303442 606884 758605 1213768 1517210 2427536 3034420 4855072 6068840 9710144 12137680 24275360 48550720