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4932048 = 243119341
BaseRepresentation
bin10010110100000111010000
3100021120111110
4102310013100
52230311143
6253413320
756631102
oct22640720
910246443
104932048
112869580
12179a240
131038b94
14925572
15676533
hex4b41d0

4932048 has 40 divisors (see below), whose sum is σ = 13900896. Its totient is φ = 1494400.

The previous prime is 4932047. The next prime is 4932073. The reversal of 4932048 is 8402394.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4143 + ... + 5198.

Almost surely, 24932048 is an apocalyptic number.

4932048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4932048 is an abundant number, since it is smaller than the sum of its proper divisors (8968848).

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

4932048 is a wasteful number, since it uses less digits than its factorization.

4932048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4932048 is about 2220.8214696369. The cubic root of 4932048 is about 170.2194167951.

The spelling of 4932048 in words is "four million, nine hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9341 18682 28023 37364 56046 74728 102751 112092 149456 205502 224184 308253 411004 448368 616506 822008 1233012 1644016 2466024 4932048