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152500032 = 2632264757
BaseRepresentation
bin10010001011011…
…11011101000000
3101121221210201100
421011233131000
5303020000112
623044334400
73531141336
oct1105573500
9347853640
10152500032
117909a593
12430a4400
1325795b09
1416379b56
15d5c52dc
hex916f740

152500032 has 42 divisors (see below), whose sum is σ = 437115458. Its totient is φ = 50833152.

The previous prime is 152500021. The next prime is 152500037. The reversal of 152500032 is 230005251.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 16451136 = 11664^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152499978 and 152500014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152500037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131803 + ... + 132954.

Almost surely, 2152500032 is an apocalyptic number.

152500032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152500032 is an abundant number, since it is smaller than the sum of its proper divisors (284615426).

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

152500032 is a wasteful number, since it uses less digits than its factorization.

152500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264775 (or 264762 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152500032 is about 12349.0903308705. The cubic root of 152500032 is about 534.2649024438.

Adding to 152500032 its reverse (230005251), we get a palindrome (382505283).

The spelling of 152500032 in words is "one hundred fifty-two million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 264757 529514 794271 1059028 1588542 2118056 2382813 3177084 4236112 4765626 6354168 8472224 9531252 12708336 16944448 19062504 25416672 38125008 50833344 76250016 152500032