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2470482768 = 24313107163227
BaseRepresentation
bin1001001101000000…
…1001001101010000
320101011122112020210
42103100021031100
520024420422033
61045051004120
7115135520445
oct22320111520
96334575223
102470482768
1110585832a6
1258b439640
13304a96130
141961699cc
15e6d49d63
hex93409350

2470482768 has 160 divisors (see below), whose sum is σ = 7010551296. Its totient is φ = 745127424.

The previous prime is 2470482767. The next prime is 2470482779. The reversal of 2470482768 is 8672840742.

It is a happy number.

It is a super-2 number, since 2×24704827682 = 12206570213969883648, which contains 22 as substring.

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 (2470482767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10883071 + ... + 10883297.

Almost surely, 22470482768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2470482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505275648).

2470482768 is an abundant number, since it is smaller than the sum of its proper divisors (4540068528).

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

2470482768 is a wasteful number, since it uses less digits than its factorization.

2470482768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 2470482768 is about 49703.9512312653. The cubic root of 2470482768 is about 1351.8461742756.

The spelling of 2470482768 in words is "two billion, four hundred seventy million, four hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 163 208 214 227 312 321 326 428 454 489 624 642 652 681 856 908 978 1284 1304 1362 1391 1712 1816 1956 2119 2568 2608 2724 2782 2951 3632 3912 4173 4238 5136 5448 5564 5902 6357 7824 8346 8476 8853 10896 11128 11804 12714 16692 16952 17441 17706 22256 23608 24289 25428 33384 33904 34882 35412 37001 47216 48578 50856 52323 66768 69764 70824 72867 74002 97156 101712 104646 111003 139528 141648 145734 148004 194312 209292 222006 226733 279056 291468 296008 315757 388624 418584 444012 453466 481013 582936 592016 631514 680199 837168 888024 906932 947271 962026 1165872 1263028 1360398 1443039 1776048 1813864 1894542 1924052 2526056 2720796 2886078 3627728 3789084 3848104 3959107 5052112 5441592 5772156 7578168 7696208 7918214 10883184 11544312 11877321 15156336 15836428 23088624 23754642 31672856 47509284 51468391 63345712 95018568 102936782 154405173 190037136 205873564 308810346 411747128 617620692 823494256 1235241384 2470482768