Search a number
-
+
48600640 = 2651113807
BaseRepresentation
bin1011100101100…
…1011001000000
310101110011112201
42321121121000
544420210030
64453402544
71130045554
oct271313100
9111404481
1048600640
1125485420
1214339454
13a0b849a
146651864
1544002ca
hex2e59640

48600640 has 56 divisors (see below), whose sum is σ = 126260352. Its totient is φ = 17671680.

The previous prime is 48600631. The next prime is 48600641. The reversal of 48600640 is 4600684.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48600599 and 48600608.

It is not an unprimeable number, because it can be changed into a prime (48600641) 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, 3384 + ... + 10423.

Almost surely, 248600640 is an apocalyptic number.

48600640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48600640 is an abundant number, since it is smaller than the sum of its proper divisors (77659712).

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

48600640 is a wasteful number, since it uses less digits than its factorization.

48600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 48600640 is about 6971.4159250471. The cubic root of 48600640 is about 364.9337216242.

The spelling of 48600640 in words is "forty-eight million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 13807 27614 55228 69035 110456 138070 151877 220912 276140 303754 441824 552280 607508 759385 883648 1104560 1215016 1518770 2209120 2430032 3037540 4418240 4860064 6075080 9720128 12150160 24300320 48600640