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1355742486 = 232731712917
BaseRepresentation
bin101000011001110…
…1111110100010110
310111111001212001200
41100303233310112
510234032224421
6342310133330
745411423000
oct12063576426
93444055050
101355742486
1163631043a
1231a051246
13187b540b7
14cc0b1370
157e051726
hex50cefd16

1355742486 has 96 divisors (see below), whose sum is σ = 3627374400. Its totient is φ = 364541184.

The previous prime is 1355742461. The next prime is 1355742527. The reversal of 1355742486 is 6842475531.

1355742486 is a `hidden beast` number, since 1 + 35 + 574 + 2 + 48 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98500 + ... + 111416.

It is an arithmetic number, because the mean of its divisors is an integer number (37785150).

Almost surely, 21355742486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355742486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813687200).

1355742486 is an abundant number, since it is smaller than the sum of its proper divisors (2271631914).

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

1355742486 is a wasteful number, since it uses less digits than its factorization.

1355742486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12946 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1355742486 is about 36820.4085528664. The cubic root of 1355742486 is about 1106.7743068999.

The spelling of 1355742486 in words is "one billion, three hundred fifty-five million, seven hundred forty-two thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1071 1666 2058 2142 2499 3087 4998 5831 6174 7497 11662 12917 14994 17493 25834 34986 38751 52479 77502 90419 104958 116253 180838 219589 232506 271257 439178 542514 632933 658767 813771 1265866 1317534 1537123 1627542 1898799 1976301 3074246 3797598 3952602 4430531 4611369 5696397 8861062 9222738 10759861 11392794 13291593 13834107 21519722 26583186 27668214 32279583 39874779 64559166 75319027 79749558 96838749 150638054 193677498 225957081 451914162 677871243 1355742486