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48193128 = 23322923081
BaseRepresentation
bin1011011111010…
…1111001101000
310100200110112200
42313311321220
544314140003
64440540200
71123430514
oct267657150
9110613480
1048193128
1125227235
1214181660
139ca4b59
146587144
15436e6a3
hex2df5e68

48193128 has 48 divisors (see below), whose sum is σ = 135029700. Its totient is φ = 15509760.

The previous prime is 48193109. The next prime is 48193141. The reversal of 48193128 is 82139184.

It can be written as a sum of positive squares in 2 ways, for example, as 48191364 + 1764 = 6942^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 48193092 and 48193101.

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, 9453 + ... + 13628.

Almost surely, 248193128 is an apocalyptic number.

It is an amenable number.

48193128 is an abundant number, since it is smaller than the sum of its proper divisors (86836572).

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

48193128 is a wasteful number, since it uses less digits than its factorization.

48193128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23122 (or 23115 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48193128 is about 6942.1270515599. The cubic root of 48193128 is about 363.9108786363.

The spelling of 48193128 in words is "forty-eight million, one hundred ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 23081 46162 69243 92324 138486 184648 207729 276972 415458 553944 669349 830916 1338698 1661832 2008047 2677396 4016094 5354792 6024141 8032188 12048282 16064376 24096564 48193128