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48861936 = 24322314753
BaseRepresentation
bin1011101001100…
…1001011110000
310101221102222100
42322121023300
5100002040221
64503140400
71132214424
oct272311360
9111842870
1048861936
1125643772
1214444700
13a17a3b6
1466bcb84
154452926
hex2e992f0

48861936 has 60 divisors (see below), whose sum is σ = 142700688. Its totient is φ = 15578112.

The previous prime is 48861929. The next prime is 48861949. The reversal of 48861936 is 63916884.

48861936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 48861891 and 48861900.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4065 + ... + 10688.

Almost surely, 248861936 is an apocalyptic number.

48861936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

48861936 is an abundant number, since it is smaller than the sum of its proper divisors (93838752).

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

48861936 is a wasteful number, since it uses less digits than its factorization.

48861936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14781 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48861936 is about 6990.1313292384. The cubic root of 48861936 is about 365.5865617272.

The spelling of 48861936 in words is "forty-eight million, eight hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 14753 29506 44259 59012 88518 118024 132777 177036 236048 265554 339319 354072 531108 678638 708144 1017957 1062216 1357276 2035914 2124432 2714552 3053871 4071828 5429104 6107742 8143656 12215484 16287312 24430968 48861936