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4056785344 = 261741199457
BaseRepresentation
bin1111000111001101…
…1010000111000000
3101110201120001022001
43301303122013000
531302014112334
61510314553344
7202350051343
oct36163320700
911421501261
104056785344
1117a1a49967
12952738854
134c8614401
142a6ad645a
1518b240714
hexf1cda1c0

4056785344 has 112 divisors (see below), whose sum is σ = 8794699200. Its totient is φ = 1849098240.

The previous prime is 4056785279. The next prime is 4056785351. The reversal of 4056785344 is 4435876504.

It is a junction number, because it is equal to n+sod(n) for n = 4056785294 and 4056785303.

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, 8876764 + ... + 8877220.

It is an arithmetic number, because the mean of its divisors is an integer number (78524100).

Almost surely, 24056785344 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 4056785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397349600).

4056785344 is an abundant number, since it is smaller than the sum of its proper divisors (4737913856).

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

4056785344 is a wasteful number, since it uses less digits than its factorization.

4056785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The square root of 4056785344 is about 63692.8986936534. The cubic root of 4056785344 is about 1594.8775427714.

The spelling of 4056785344 in words is "four billion, fifty-six million, seven hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 199 272 328 398 457 544 656 697 796 914 1088 1312 1394 1592 1828 2624 2788 3184 3383 3656 5576 6368 6766 7312 7769 8159 11152 12736 13532 14624 15538 16318 18737 22304 27064 29248 31076 32636 37474 44608 54128 62152 65272 74948 90943 108256 124304 130544 138703 149896 181886 216512 248608 261088 277406 299792 318529 363772 497216 522176 554812 599584 637058 727544 1109624 1199168 1274116 1455088 1546031 2219248 2548232 2910176 3092062 3728663 4438496 5096464 5820352 6184124 7457326 8876992 10192928 12368248 14914652 20385856 24736496 29829304 49472992 59658608 63387271 98945984 119317216 126774542 238634432 253549084 507098168 1014196336 2028392672 4056785344