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1472328 = 2332112132
BaseRepresentation
bin101100111011101001000
32202210122200
411213131020
5334103303
651320200
715341334
oct5473510
92683580
101472328
11916200
125b0060
133c7200
142a47c4
151e13a3
hex167748

1472328 has 108 divisors (see below), whose sum is σ = 4746105. Its totient is φ = 411840.

The previous prime is 1472297. The next prime is 1472333. The reversal of 1472328 is 8232741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1258884 + 213444 = 1122^2 + 462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113250 + ... + 113262.

21472328 is an apocalyptic number.

1472328 is a gapful number since it is divisible by the number (18) 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 1472328

1472328 is an abundant number, since it is smaller than the sum of its proper divisors (3273777).

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

1472328 is a wasteful number, since it uses less digits than its factorization.

1472328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1472328 is about 1213.3952365161. The cubic root of 1472328 is about 113.7631277366.

The spelling of 1472328 in words is "one million, four hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 169 198 234 242 264 286 312 338 363 396 429 468 484 507 572 676 726 792 858 936 968 1014 1089 1144 1287 1352 1452 1521 1573 1716 1859 2028 2178 2574 2904 3042 3146 3432 3718 4056 4356 4719 5148 5577 6084 6292 7436 8712 9438 10296 11154 12168 12584 14157 14872 16731 18876 20449 22308 28314 33462 37752 40898 44616 56628 61347 66924 81796 113256 122694 133848 163592 184041 245388 368082 490776 736164 1472328