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4020344256 = 26353974073
BaseRepresentation
bin1110111110100001…
…1001010111000000
3101101011222122112010
43233220121113000
531213202004011
61502533532520
7201425235165
oct35750312700
911334878463
104020344256
11178341a165
129424a4140
134c0bc5736
142a1d2c06c
15187e431a6
hexefa195c0

4020344256 has 112 divisors (see below), whose sum is σ = 10952280864. Its totient is φ = 1300955136.

The previous prime is 4020344243. The next prime is 4020344267. The reversal of 4020344256 is 6524430204.

4020344256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 985036 + ... + 989108.

It is an arithmetic number, because the mean of its divisors is an integer number (97788222).

Almost surely, 24020344256 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 4020344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476140432).

4020344256 is an abundant number, since it is smaller than the sum of its proper divisors (6931936608).

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

4020344256 is a wasteful number, since it uses less digits than its factorization.

4020344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4020344256 is about 63406.1846825686. The cubic root of 4020344256 is about 1590.0877100462.

The spelling of 4020344256 in words is "four billion, twenty million, three hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 97 106 159 192 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 1696 2328 2544 3104 3392 4073 4656 5088 5141 6208 8146 9312 10176 10282 12219 15423 16292 18624 20564 24438 30846 32584 41128 48876 61692 65168 82256 97752 123384 130336 164512 195504 215869 246768 260672 329024 391008 395081 431738 493536 647607 782016 790162 863476 987072 1185243 1295214 1580324 1726952 2370486 2590428 3160648 3453904 4740972 5180856 6321296 6907808 9481944 10361712 12642592 13815616 18963888 20723424 20939293 25285184 37927776 41446848 41878586 62817879 75855552 83757172 125635758 167514344 251271516 335028688 502543032 670057376 1005086064 1340114752 2010172128 4020344256