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52933248 = 273245949
BaseRepresentation
bin1100100111101…
…1001010000000
310200121021202200
43021323022000
5102022330443
65130313200
71211632224
oct311731200
9120537680
1052933248
1127974595
1215888800
13ac74564
14705c784
1549a8dd3
hex327b280

52933248 has 48 divisors (see below), whose sum is σ = 152324250. Its totient is φ = 17644032.

The previous prime is 52933241. The next prime is 52933253. The reversal of 52933248 is 84233925.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 16064064 = 6072^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (52933241) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21823 + ... + 24126.

Almost surely, 252933248 is an apocalyptic number.

It is an amenable number.

52933248 is an abundant number, since it is smaller than the sum of its proper divisors (99391002).

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

52933248 is a wasteful number, since it uses less digits than its factorization.

52933248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45969 (or 45954 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 52933248 is about 7275.5238986619. The cubic root of 52933248 is about 375.4708113172.

The spelling of 52933248 in words is "fifty-two million, nine hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 45949 91898 137847 183796 275694 367592 413541 551388 735184 827082 1102776 1470368 1654164 2205552 2940736 3308328 4411104 5881472 6616656 8822208 13233312 17644416 26466624 52933248