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1387763442 = 234132173293
BaseRepresentation
bin101001010110111…
…1001011011110010
310120201022200120000
41102231321123302
510320231412232
6345412330430
746250536362
oct12255713362
93521280500
101387763442
116523a123a
12328913a16
13191685c00
14d24489a2
1581c7927c
hex52b796f2

1387763442 has 120 divisors (see below), whose sum is σ = 3398241924. Its totient is φ = 423086976.

The previous prime is 1387763441. The next prime is 1387763491. The reversal of 1387763442 is 2443677831.

1387763442 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 7 + 634 + 4 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 865595241 + 522168201 = 29421^2 + 22851^2 .

It is not an unprimeable number, because it can be changed into a prime (1387763441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4736248 + ... + 4736540.

Almost surely, 21387763442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387763442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699120962).

1387763442 is an abundant number, since it is smaller than the sum of its proper divisors (2010478482).

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

1387763442 is a wasteful number, since it uses less digits than its factorization.

1387763442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1387763442 is about 37252.6971104107. The cubic root of 1387763442 is about 1115.4201375405.

The spelling of 1387763442 in words is "one billion, three hundred eighty-seven million, seven hundred sixty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 173 234 293 338 346 351 507 519 586 702 879 1014 1038 1053 1521 1557 1758 2106 2249 2637 3042 3114 3809 4498 4563 4671 5274 6747 7618 7911 9126 9342 11427 13494 13689 14013 15822 20241 22854 23733 27378 28026 29237 34281 40482 47466 49517 50689 58474 60723 68562 87711 99034 101378 102843 121446 148551 152067 175422 182169 205686 263133 297102 304134 308529 364338 445653 456201 526266 617058 658957 789399 891306 912402 1317914 1336959 1368603 1578798 1976871 2368197 2673918 2737206 3953742 4010877 4105809 4736394 5930613 8021754 8211618 8566441 11861226 17132882 17791839 25699323 35583678 51398646 53375517 77097969 106751034 154195938 231293907 462587814 693881721 1387763442