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52609152 = 273178059
BaseRepresentation
bin1100100010110…
…0000010000000
310122222211012010
43020230002000
5101431443102
65115332520
71206112311
oct310540200
9118884163
1052609152
1127773042
1215751140
13ab8cb9b
146db6608
154942d6c
hex322c080

52609152 has 64 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 16502784.

The previous prime is 52609147. The next prime is 52609159. The reversal of 52609152 is 25190625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (52609159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499 + ... + 10557.

Almost surely, 252609152 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 52609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

52609152 is an abundant number, since it is smaller than the sum of its proper divisors (95372448).

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

52609152 is a wasteful number, since it uses less digits than its factorization.

52609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 52609152 is about 7253.2166657284. The cubic root of 52609152 is about 374.7029398540.

Adding to 52609152 its reverse (25190625), we get a palindrome (77799777).

The spelling of 52609152 in words is "fifty-two million, six hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 8059 16118 24177 32236 48354 64472 96708 128944 137003 193416 257888 274006 386832 411009 515776 548012 773664 822018 1031552 1096024 1547328 1644036 2192048 3094656 3288072 4384096 6576144 8768192 13152288 17536384 26304576 52609152