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48938100 = 22352163127
BaseRepresentation
bin1011101010101…
…1110001110100
310102002022110020
42322223301310
5100012004400
64504525140
71132652451
oct272536164
9112068406
1048938100
1125695a12
12144807b0
13a1a5c73
1466dc828
15446a2a0
hex2eabc74

48938100 has 36 divisors (see below), whose sum is σ = 141595104. Its totient is φ = 13050080.

The previous prime is 48938083. The next prime is 48938111. The reversal of 48938100 is 183984.

It is a super-2 number, since 2×489381002 = 4789875263220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81264 + ... + 81863.

Almost surely, 248938100 is an apocalyptic number.

It is an amenable number.

48938100 is an abundant number, since it is smaller than the sum of its proper divisors (92657004).

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

48938100 is a wasteful number, since it uses less digits than its factorization.

48938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163144 (or 163137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 48938100 is about 6995.5771741866. The cubic root of 48938100 is about 365.7764169400.

The spelling of 48938100 in words is "forty-eight million, nine hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 163127 326254 489381 652508 815635 978762 1631270 1957524 2446905 3262540 4078175 4893810 8156350 9787620 12234525 16312700 24469050 48938100