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48668664 = 23311184351
BaseRepresentation
bin1011100110100…
…1111111111000
310101120121212010
42321221333320
544424344124
64455045520
71130451102
oct271517770
9111517763
1048668664
1125521540
12143708a0
13a110435
14666c572
154415529
hex2e69ff8

48668664 has 32 divisors (see below), whose sum is σ = 132733440. Its totient is φ = 14748000.

The previous prime is 48668663. The next prime is 48668689. The reversal of 48668664 is 46686684.

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 (48668663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91912 + ... + 92439.

It is an arithmetic number, because the mean of its divisors is an integer number (4147920).

Almost surely, 248668664 is an apocalyptic number.

48668664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48668664 is an abundant number, since it is smaller than the sum of its proper divisors (84064776).

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

48668664 is a wasteful number, since it uses less digits than its factorization.

48668664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184371 (or 184367 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 48668664 is about 6976.2929984341. The cubic root of 48668664 is about 365.1039023646.

It can be divided in two parts, 4866 and 8664, that added together give a triangular number (13530 = T164).

The spelling of 48668664 in words is "forty-eight million, six hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 184351 368702 553053 737404 1106106 1474808 2027861 2212212 4055722 4424424 6083583 8111444 12167166 16222888 24334332 48668664