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52946048 = 27616781
BaseRepresentation
bin1100100111111…
…0010010000000
310200121221022202
43021332102000
5102023233143
65130452332
71212014441
oct311762200
9120557282
1052946048
1127983171
12158940a8
13ac7a32c
1470632c8
1549acab8
hex327e480

52946048 has 32 divisors (see below), whose sum is σ = 107223420. Its totient is φ = 26035200.

The previous prime is 52946021. The next prime is 52946051. The reversal of 52946048 is 84064925.

It can be written as a sum of positive squares in 2 ways, for example, as 47224384 + 5721664 = 6872^2 + 2392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4418 + ... + 11198.

Almost surely, 252946048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53611710).

52946048 is an abundant number, since it is smaller than the sum of its proper divisors (54277372).

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

52946048 is an equidigital number, since it uses as much as digits as its factorization.

52946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 52946048 is about 7276.4035072280. The cubic root of 52946048 is about 375.5010735766.

The spelling of 52946048 in words is "fifty-two million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 6781 7808 13562 27124 54248 108496 216992 413641 433984 827282 867968 1654564 3309128 6618256 13236512 26473024 52946048