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4042280256 = 263715719157
BaseRepresentation
bin1111000011110000…
…0100110101000000
3101102201021010001120
43300330010311000
531234310432011
61505040032240
7202112546430
oct36074046500
911381233046
104042280256
111794841a93
12949902680
134c5606111
142a4bdc2c0
15189d27a06
hexf0f04d40

4042280256 has 112 divisors (see below), whose sum is σ = 12301581696. Its totient is φ = 1147521024.

The previous prime is 4042280243. The next prime is 4042280279. The reversal of 4042280256 is 6520822404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201430 + ... + 220586.

Almost surely, 24042280256 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 4042280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150790848).

4042280256 is an abundant number, since it is smaller than the sum of its proper divisors (8259301440).

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

4042280256 is a wasteful number, since it uses less digits than its factorization.

4042280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4042280256 is about 63578.9293398371. The cubic root of 4042280256 is about 1592.9744377410.

The spelling of 4042280256 in words is "four billion, forty-two million, two hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 19157 26376 30144 35168 38314 52752 57471 70336 76628 105504 114942 134099 153256 211008 229884 268198 306512 402297 459768 536396 613024 804594 919536 1072792 1226048 1609188 1839072 2145584 3007649 3218376 3678144 4291168 6015298 6436752 8582336 9022947 12030596 12873504 18045894 21053543 24061192 25747008 36091788 42107086 48122384 63160629 72183576 84214172 96244768 126321258 144367152 168428344 192489536 252642516 288734304 336856688 505285032 577468608 673713376 1010570064 1347426752 2021140128 4042280256