Search a number
-
+
1377947844 = 22327134110259
BaseRepresentation
bin101001000100001…
…1101000011000100
310120000212000002100
41102020131003010
510310223312334
6344422112100
746101235440
oct12210350304
93500760070
101377947844
116478a7679
1232557b630
1318c62a270
14d1011820
1580e8ac99
hex5221d0c4

1377947844 has 144 divisors (see below), whose sum is σ = 4391936640. Its totient is φ = 354516480.

The previous prime is 1377947797. The next prime is 1377947863. The reversal of 1377947844 is 4487497731.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 129187 + ... + 139445.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 21377947844 is an apocalyptic number.

1377947844 is a gapful number since it is divisible by the number (14) 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 1377947844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195968320).

1377947844 is an abundant number, since it is smaller than the sum of its proper divisors (3013988796).

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

1377947844 is a wasteful number, since it uses less digits than its factorization.

1377947844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10325 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 1377947844 is about 37120.7198744852. The cubic root of 1377947844 is about 1112.7841382386.

The spelling of 1377947844 in words is "one billion, three hundred seventy-seven million, nine hundred forty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 156 164 182 234 246 252 273 287 364 369 468 492 533 546 574 738 819 861 1066 1092 1148 1476 1599 1638 1722 2132 2583 3198 3276 3444 3731 4797 5166 6396 7462 9594 10259 10332 11193 14924 19188 20518 22386 30777 33579 41036 44772 61554 67158 71813 92331 123108 133367 134316 143626 184662 215439 266734 287252 369324 400101 420619 430878 533468 646317 800202 841238 861756 933569 1200303 1261857 1292634 1600404 1682476 1867138 2400606 2523714 2585268 2800707 2944333 3734276 3785571 4801212 5047428 5468047 5601414 5888666 7571142 8402121 8832999 10936094 11202828 11777332 15142284 16404141 16804242 17665998 21872188 26498997 32808282 33608484 35331996 38276329 49212423 52997994 65616564 76552658 98424846 105995988 114828987 153105316 196849692 229657974 344486961 459315948 688973922 1377947844