Search a number
-
+
1386077952 = 2837318317
BaseRepresentation
bin101001010011101…
…1101111100000000
310120121011001111110
41102213131330000
510314313443302
6345312243320
746230316410
oct12247357400
93517131443
101386077952
1165144a976
12328240540
1319121598c
14d212a640
1581a44b6c
hex529ddf00

1386077952 has 144 divisors (see below), whose sum is σ = 4352509952. Its totient is φ = 383201280.

The previous prime is 1386077951. The next prime is 1386077963. The reversal of 1386077952 is 2597706831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386077951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162498 + ... + 170814.

Almost surely, 21386077952 is an apocalyptic number.

1386077952 is a gapful number since it is divisible by the number (12) 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 1386077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176254976).

1386077952 is an abundant number, since it is smaller than the sum of its proper divisors (2966432000).

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

1386077952 is an equidigital number, since it uses as much as digits as its factorization.

1386077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 1386077952 is about 37230.0678484474. The cubic root of 1386077952 is about 1114.9683816032.

The spelling of 1386077952 in words is "one billion, three hundred eighty-six million, seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 8317 10416 11904 13888 16634 20832 23808 24951 27776 33268 41664 49902 55552 58219 66536 83328 99804 116438 133072 166656 174657 199608 232876 257827 266144 349314 399216 465752 515654 532288 698628 773481 798432 931504 1031308 1064576 1397256 1546962 1596864 1804789 1863008 2062616 2129152 2794512 3093924 3193728 3609578 3726016 4125232 5414367 5589024 6187848 6387456 7219156 7452032 8250464 10828734 11178048 12375696 14438312 14904064 16500928 21657468 22356096 24751392 28876624 33001856 43314936 44712192 49502784 57753248 66003712 86629872 99005568 115506496 173259744 198011136 231012992 346519488 462025984 693038976 1386077952