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152482932 = 223371011997
BaseRepresentation
bin10010001011010…
…11010001110100
3101121220221021000
421011223101310
5303013423212
623044123300
73531040440
oct1105532164
9347827230
10152482932
1179088758
1243096530
132578b0b4
1416373820
15d5c01dc
hex916b474

152482932 has 96 divisors (see below), whose sum is σ = 456503040. Its totient is φ = 43113600.

The previous prime is 152482901. The next prime is 152482973. The reversal of 152482932 is 239284251.

It is a happy number.

152482932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75358 + ... + 77354.

It is an arithmetic number, because the mean of its divisors is an integer number (4755240).

Almost surely, 2152482932 is an apocalyptic number.

152482932 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 152482932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228251520).

152482932 is an abundant number, since it is smaller than the sum of its proper divisors (304020108).

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

152482932 is a wasteful number, since it uses less digits than its factorization.

152482932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 152482932 is about 12348.3979527710. The cubic root of 152482932 is about 534.2449324560.

The spelling of 152482932 in words is "one hundred fifty-two million, four hundred eighty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 1997 2121 2727 2828 3636 3994 4242 5454 5991 6363 7988 8484 10908 11982 12726 13979 17973 19089 23964 25452 27958 35946 38178 41937 53919 55916 71892 76356 83874 107838 125811 167748 201697 215676 251622 377433 403394 503244 605091 754866 806788 1210182 1411879 1509732 1815273 2420364 2823758 3630546 4235637 5445819 5647516 7261092 8471274 10891638 12706911 16942548 21783276 25413822 38120733 50827644 76241466 152482932