Search a number
-
+
1628390412 = 22331123532
BaseRepresentation
bin110000100001111…
…0100010000001100
311012111002210201000
41201003310100030
511313331443122
6425330020300
755232042625
oct14103642014
94174083630
101628390412
11766202900
12395417690
131cc49622c
141163a4a4c
1597e5b0ac
hex610f440c

1628390412 has 108 divisors (see below), whose sum is σ = 4653622120. Its totient is φ = 492053760.

The previous prime is 1628390381. The next prime is 1628390417. The reversal of 1628390412 is 2140938261.

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.

1628390412 is a `hidden beast` number, since 162 + 83 + 9 + 0 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (1628390417) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4612828 + ... + 4613180.

Almost surely, 21628390412 is an apocalyptic number.

1628390412 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 1628390412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326811060).

1628390412 is an abundant number, since it is smaller than the sum of its proper divisors (3025231708).

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

1628390412 is a wasteful number, since it uses less digits than its factorization.

1628390412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1628390412 is about 40353.3197147397. The cubic root of 1628390412 is about 1176.4844162177.

The spelling of 1628390412 in words is "one billion, six hundred twenty-eight million, three hundred ninety thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 353 363 396 484 594 706 726 1059 1089 1188 1412 1452 2118 2178 3177 3267 3883 4236 4356 6354 6534 7766 9531 11649 12708 13068 15532 19062 23298 34947 38124 42713 46596 69894 85426 104841 124609 128139 139788 170852 209682 249218 256278 373827 384417 419364 498436 512556 747654 768834 1121481 1153251 1370699 1495308 1537668 2242962 2306502 2741398 3364443 4112097 4485924 4613004 5482796 6728886 8224194 12336291 13457772 15077689 16448388 24672582 30155378 37008873 45233067 49345164 60310756 74017746 90466134 135699201 148035492 180932268 271398402 407097603 542796804 814195206 1628390412