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1928439396 = 22321325632
BaseRepresentation
bin111001011110001…
…1010011001100100
311222101200212112100
41302330122121210
512422140030041
6515205052100
765534315202
oct16274323144
94871625470
101928439396
118aa610074
124599b7030
132496b0400
1414418c072
15b44796b6
hex72f1a664

1928439396 has 81 divisors (see below), whose sum is σ = 5287877049. Its totient is φ = 592312032.

The previous prime is 1928439391. The next prime is 1928439407. The reversal of 1928439396 is 6939348291.

The square root of 1928439396 is 43914.

It is a perfect power (a square), and thus also a powerful number.

1928439396 is a `hidden beast` number, since 1 + 92 + 84 + 393 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285272100 + 1643167296 = 16890^2 + 40536^2 .

It is not an unprimeable number, because it can be changed into a prime (1928439391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3425011 + ... + 3425573.

Almost surely, 21928439396 is an apocalyptic number.

1928439396 is the 43914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928439396

1928439396 is an abundant number, since it is smaller than the sum of its proper divisors (3359437653).

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

1928439396 is a wasteful number, since it uses less digits than its factorization.

1928439396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The cubic root of 1928439396 is about 1244.7113938857.

The spelling of 1928439396 in words is "one billion, nine hundred twenty-eight million, four hundred thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 563 676 1014 1126 1521 1689 2028 2252 3042 3378 5067 6084 6756 7319 10134 14638 20268 21957 29276 43914 65871 87828 95147 131742 190294 263484 285441 316969 380588 570882 633938 856323 950907 1141764 1267876 1712646 1901814 2852721 3425292 3803628 4120597 5705442 8241194 11410884 12361791 16482388 24723582 37085373 49447164 53567761 74170746 107135522 148341492 160703283 214271044 321406566 482109849 642813132 964219698 1928439396