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1520533152 = 25325279629
BaseRepresentation
bin101101010100001…
…0111111010100000
310220222011002100200
41122220113322200
511103224030102
6410514145200
752452214155
oct13250277240
93828132320
101520533152
11710335076
12365282200
131b3031278
14105d2a22c
158d75351c
hex5aa17ea0

1520533152 has 36 divisors (see below), whose sum is σ = 4324016970. Its totient is φ = 506844288.

The previous prime is 1520533141. The next prime is 1520533171. The reversal of 1520533152 is 2513350251.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1307256336 + 213276816 = 36156^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2639527 + ... + 2640102.

Almost surely, 21520533152 is an apocalyptic number.

1520533152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1520533152 is an abundant number, since it is smaller than the sum of its proper divisors (2803483818).

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

1520533152 is a wasteful number, since it uses less digits than its factorization.

1520533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279645 (or 5279634 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1520533152 is about 38994.0143098912. The cubic root of 1520533152 is about 1149.9138314768.

The spelling of 1520533152 in words is "one billion, five hundred twenty million, five hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5279629 10559258 15838887 21118516 31677774 42237032 47516661 63355548 84474064 95033322 126711096 168948128 190066644 253422192 380133288 506844384 760266576 1520533152