Search a number
-
+
1427379504 = 243613531381
BaseRepresentation
bin101010100010100…
…0001010100110000
310200110212101120120
41111011001110300
510410402121004
6353345410240
750241345165
oct12505012460
93613771516
101427379504
1167279a391
1233a039980
13199946a75
14d77dc06c
15854a23d9
hex55141530

1427379504 has 80 divisors (see below), whose sum is σ = 3761184864. Its totient is φ = 466329600.

The previous prime is 1427379497. The next prime is 1427379509. The reversal of 1427379504 is 4059737241.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1427379509) 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 15 ways as a sum of consecutive naturals, for example, 1032894 + ... + 1034274.

Almost surely, 21427379504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427379504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880592432).

1427379504 is an abundant number, since it is smaller than the sum of its proper divisors (2333805360).

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

1427379504 is a wasteful number, since it uses less digits than its factorization.

1427379504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1427379504 is about 37780.6763306323. The cubic root of 1427379504 is about 1125.9345660346.

The spelling of 1427379504 in words is "one billion, four hundred twenty-seven million, three hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 353 366 488 706 732 976 1059 1381 1412 1464 2118 2762 2824 2928 4143 4236 5524 5648 8286 8472 11048 16572 16944 21533 22096 33144 43066 64599 66288 84241 86132 129198 168482 172264 252723 258396 336964 344528 487493 505446 516792 673928 974986 1010892 1033584 1347856 1462479 1949972 2021784 2924958 3899944 4043568 5849916 7799888 11699832 23399664 29737073 59474146 89211219 118948292 178422438 237896584 356844876 475793168 713689752 1427379504