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48806505 = 32511432293
BaseRepresentation
bin1011101000101…
…1101001101001
310101211121221100
42322023221221
544443302010
64502032013
71131564006
oct272135151
9111747840
1048806505
1125606060
1214418609
13a15b0b7
1466a68ad
1544412c0
hex2e8ba69

48806505 has 48 divisors (see below), whose sum is σ = 94476096. Its totient is φ = 23103360.

The previous prime is 48806503. The next prime is 48806521. The reversal of 48806505 is 50560884.

It is a happy number.

It is not a de Polignac number, because 48806505 - 21 = 48806503 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48806505.

It is not an unprimeable number, because it can be changed into a prime (48806501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20139 + ... + 22431.

It is an arithmetic number, because the mean of its divisors is an integer number (1968252).

Almost surely, 248806505 is an apocalyptic number.

48806505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48806505 is a deficient number, since it is larger than the sum of its proper divisors (45669591).

48806505 is a wasteful number, since it uses less digits than its factorization.

48806505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 48806505 is about 6986.1652571350. The cubic root of 48806505 is about 365.4482639145.

The spelling of 48806505 in words is "forty-eight million, eight hundred six thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 129 165 215 387 473 495 645 1419 1935 2293 2365 4257 6879 7095 11465 20637 21285 25223 34395 75669 98599 103185 126115 227007 295797 378345 492995 887391 1084589 1135035 1478985 3253767 4436955 5422945 9761301 16268835 48806505