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48429648 = 2432336317
BaseRepresentation
bin1011100010111…
…1101001010000
310101010110222200
42320233221100
544344222043
64450003200
71125434211
oct270575120
9111113880
1048429648
1125378a03
1214276500
13a0586c7
146609408
1543b97d3
hex2e2fa50

48429648 has 30 divisors (see below), whose sum is σ = 135536154. Its totient is φ = 16143168.

The previous prime is 48429631. The next prime is 48429649. The reversal of 48429648 is 84692484.

48429648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 6594624 = 6468^2 + 2568^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48429649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168015 + ... + 168302.

Almost surely, 248429648 is an apocalyptic number.

48429648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48429648 is an abundant number, since it is smaller than the sum of its proper divisors (87106506).

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

48429648 is a wasteful number, since it uses less digits than its factorization.

48429648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336331 (or 336322 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48429648 is about 6959.1413263419. The cubic root of 48429648 is about 364.5052356894.

The spelling of 48429648 in words is "forty-eight million, four hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 336317 672634 1008951 1345268 2017902 2690536 3026853 4035804 5381072 6053706 8071608 12107412 16143216 24214824 48429648