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1642673424 = 243719257311
BaseRepresentation
bin110000111101001…
…0011010100010000
311020110222110022110
41201322103110100
511331011022144
6431000105320
755464331230
oct14172232420
94213873273
101642673424
11773278947
1239a165240
13202427412
14118241cc0
159932d0b9
hex61e93510

1642673424 has 80 divisors (see below), whose sum is σ = 5105070080. Its totient is φ = 444631680.

The previous prime is 1642673387. The next prime is 1642673437. The reversal of 1642673424 is 4243762461.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 122272 + ... + 135039.

It is an arithmetic number, because the mean of its divisors is an integer number (63813376).

Almost surely, 21642673424 is an apocalyptic number.

1642673424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1642673424 is an abundant number, since it is smaller than the sum of its proper divisors (3462396656).

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

1642673424 is a wasteful number, since it uses less digits than its factorization.

1642673424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257348 (or 257342 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 1642673424 is about 40529.9077719158. The cubic root of 1642673424 is about 1179.9141525212.

The spelling of 1642673424 in words is "one billion, six hundred forty-two million, six hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 257311 514622 771933 1029244 1543866 1801177 2058488 3087732 3602354 4116976 4888909 5403531 6175464 7204708 9777818 10807062 12350928 14409416 14666727 19555636 21614124 28818832 29333454 34222363 39111272 43228248 58666908 68444726 78222544 86456496 102667089 117333816 136889452 205334178 234667632 273778904 410668356 547557808 821336712 1642673424