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1329151628 = 227671933671
BaseRepresentation
bin100111100111001…
…0011111010001100
310102122000220021002
41033032103322030
510210230323003
6335520155432
744636413430
oct11716237214
93378026232
101329151628
116222a9322
12311168b78
131824a3a6c
14c874c9c0
157ba4ca88
hex4f393e8c

1329151628 has 48 divisors (see below), whose sum is σ = 2712697344. Its totient is φ = 558074880.

The previous prime is 1329151627. The next prime is 1329151639. The reversal of 1329151628 is 8261519231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1329151591 and 1329151600.

It is not an unprimeable number, because it can be changed into a prime (1329151627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360233 + ... + 363903.

It is an arithmetic number, because the mean of its divisors is an integer number (56514528).

Almost surely, 21329151628 is an apocalyptic number.

It is an amenable number.

1329151628 is an abundant number, since it is smaller than the sum of its proper divisors (1383545716).

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

1329151628 is a wasteful number, since it uses less digits than its factorization.

1329151628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3940 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 1329151628 is about 36457.5318418568. The cubic root of 1329151628 is about 1099.4905707224.

The spelling of 1329151628 in words is "one billion, three hundred twenty-nine million, one hundred fifty-one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 67 134 193 268 386 469 772 938 1351 1876 2702 3671 5404 7342 12931 14684 25697 25862 51394 51724 90517 102788 181034 245957 362068 491914 708503 983828 1417006 1721699 2834012 3443398 4959521 6886796 9919042 19838084 47469701 94939402 189878804 332287907 664575814 1329151628