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4056346032 = 2433173107349
BaseRepresentation
bin1111000111000110…
…1110110110110000
3101110200201201200020
43301301232312300
531301411033112
61510301323440
7202343241504
oct36161566660
911420651606
104056346032
1117a17798a2
12952566580
134c84bc46b
142a6a20304
1518b1a548c
hexf1c6edb0

4056346032 has 160 divisors (see below), whose sum is σ = 11099289600. Its totient is φ = 1274849280.

The previous prime is 4056346027. The next prime is 4056346127. The reversal of 4056346032 is 2306436504.

It is a junction number, because it is equal to n+sod(n) for n = 4056345984 and 4056346002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11622594 + ... + 11622942.

It is an arithmetic number, because the mean of its divisors is an integer number (69370560).

Almost surely, 24056346032 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 4056346032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549644800).

4056346032 is an abundant number, since it is smaller than the sum of its proper divisors (7042943568).

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

4056346032 is a wasteful number, since it uses less digits than its factorization.

4056346032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 4056346032 is about 63689.4499269699. The cubic root of 4056346032 is about 1594.8199705743.

The spelling of 4056346032 in words is "four billion, fifty-six million, three hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 107 124 146 186 214 219 248 292 321 349 372 428 438 496 584 642 698 744 856 876 1047 1168 1284 1396 1488 1712 1752 2094 2263 2568 2792 3317 3504 4188 4526 5136 5584 6634 6789 7811 8376 9052 9951 10819 13268 13578 15622 16752 18104 19902 21638 23433 25477 26536 27156 31244 32457 36208 37343 39804 43276 46866 50954 53072 54312 62488 64914 74686 76431 79608 86552 93732 101908 108624 112029 124976 129828 149372 152862 159216 173104 187464 203816 224058 242141 259656 298744 305724 374928 407632 448116 484282 519312 597488 611448 726423 789787 896232 968564 1157633 1222896 1452846 1579574 1792464 1937128 2315266 2369361 2726039 2905692 3159148 3472899 3874256 4630532 4738722 5452078 5811384 6318296 6945798 8178117 9261064 9477444 10904156 11622768 12636592 13891596 16356234 18522128 18954888 21808312 27783192 32712468 37909776 43616624 55566384 65424936 84507209 130849872 169014418 253521627 338028836 507043254 676057672 1014086508 1352115344 2028173016 4056346032