Search a number
-
+
1427817942 = 238233467
BaseRepresentation
bin101010100011010…
…1100010111010110
310200111200200000000
41111012230113112
510411010133232
6353403032130
750245152345
oct12506542726
93614620000
101427817942
11672a69831
1233a20b646
13199a6b4b5
14d78b3b5c
158553c27c
hex551ac5d6

1427817942 has 72 divisors (see below), whose sum is σ = 3233122776. Its totient is φ = 472881888.

The previous prime is 1427817931. The next prime is 1427817953. The reversal of 1427817942 is 2497187241.

It is an interprime number because it is at equal distance from previous prime (1427817931) and next prime (1427817953).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3057193 + ... + 3057659.

It is an arithmetic number, because the mean of its divisors is an integer number (44904483).

Almost surely, 21427817942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427817942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616561388).

1427817942 is an abundant number, since it is smaller than the sum of its proper divisors (1805304834).

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

1427817942 is an frugal number, since it uses more digits than its factorization.

1427817942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 705 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1427817942 is about 37786.4782958137. The cubic root of 1427817942 is about 1126.0498360014.

The spelling of 1427817942 in words is "one billion, four hundred twenty-seven million, eight hundred seventeen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 243 466 467 486 699 729 934 1398 1401 1458 2097 2187 2802 4194 4203 4374 6291 6561 8406 12582 12609 13122 18873 25218 37746 37827 56619 75654 108811 113238 113481 169857 217622 226962 326433 339714 340443 509571 652866 680886 979299 1019142 1021329 1528713 1958598 2042658 2937897 3057426 3063987 5875794 6127974 8813691 17627382 26441073 52882146 79323219 158646438 237969657 475939314 713908971 1427817942