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1521530532 = 2232177334057
BaseRepresentation
bin101101010110000…
…1011011010100100
310221001000202111200
41122230023122210
511104002434112
6410551402500
752463540034
oct13254133244
93831022450
101521530532
11710956455
12365683430
131b32c0232
141061098c4
158d89dcdc
hex5ab0b6a4

1521530532 has 72 divisors (see below), whose sum is σ = 4128238296. Its totient is φ = 470790144.

The previous prime is 1521530531. The next prime is 1521530573. The reversal of 1521530532 is 2350351251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 738426276 + 783104256 = 27174^2 + 27984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1521530496 and 1521530505.

It is not an unprimeable number, because it can be changed into a prime (1521530531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27648 + ... + 61704.

It is an arithmetic number, because the mean of its divisors is an integer number (57336643).

Almost surely, 21521530532 is an apocalyptic number.

1521530532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521530532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064119148).

1521530532 is an abundant number, since it is smaller than the sum of its proper divisors (2606707764).

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

1521530532 is a wasteful number, since it uses less digits than its factorization.

1521530532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34157 (or 34152 counting only the distinct ones).

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

The square root of 1521530532 is about 39006.8010992955. The cubic root of 1521530532 is about 1150.1652017239.

Adding to 1521530532 its reverse (2350351251), we get a palindrome (3871881783).

The spelling of 1521530532 in words is "one billion, five hundred twenty-one million, five hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 11169 14892 22338 34057 44676 68114 102171 136228 204342 306513 408684 578969 613026 1157938 1226052 1736907 2315876 2486161 3473814 4972322 5210721 6947628 7458483 9944644 10421442 14916966 20842884 22375449 29833932 42264737 44750898 84529474 89501796 126794211 169058948 253588422 380382633 507176844 760765266 1521530532