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1385710848 = 2833433463
BaseRepresentation
bin101001010011000…
…0100010100000000
310120120110101221000
41102212010110000
510314220221343
6345300332000
746224230214
oct12246042400
93516411830
101385710848
1165121a085
123280a4000
13191117862
14d2072944
15819c0ed3
hex52984500

1385710848 has 144 divisors (see below), whose sum is σ = 4116125440. Its totient is φ = 459841536.

The previous prime is 1385710801. The next prime is 1385710873. The reversal of 1385710848 is 8480175831.

It is a happy number.

1385710848 is a `hidden beast` number, since 1 + 38 + 571 + 0 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2992665 + ... + 2993127.

Almost surely, 21385710848 is an apocalyptic number.

1385710848 is a gapful number since it is divisible by the number (18) 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 1385710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058062720).

1385710848 is an abundant number, since it is smaller than the sum of its proper divisors (2730414592).

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

1385710848 is an equidigital number, since it uses as much as digits as its factorization.

1385710848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1385710848 is about 37225.1373133801. The cubic root of 1385710848 is about 1114.8699394502.

The spelling of 1385710848 in words is "one billion, three hundred eighty-five million, seven hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 433 463 576 768 864 866 926 1152 1299 1389 1728 1732 1852 2304 2598 2778 3456 3464 3704 3897 4167 5196 5556 6912 6928 7408 7794 8334 10392 11112 11691 12501 13856 14816 15588 16668 20784 22224 23382 25002 27712 29632 31176 33336 41568 44448 46764 50004 55424 59264 62352 66672 83136 88896 93528 100008 110848 118528 124704 133344 166272 177792 187056 200016 200479 249408 266688 332544 355584 374112 400032 400958 498816 533376 601437 748224 800064 801916 997632 1066752 1202874 1496448 1600128 1603832 1804311 2405748 2992896 3200256 3207664 3608622 4811496 5412933 6415328 7217244 9622992 10825866 12830656 14434488 19245984 21651732 25661312 28868976 38491968 43303464 51322624 57737952 76983936 86606928 115475904 153967872 173213856 230951808 346427712 461903616 692855424 1385710848