[go: up one dir, main page]

Search a number
-
+
8338016256 = 21133374027
BaseRepresentation
bin1111100001111110…
…00000100000000000
3210112002110010000220
413300333000200000
5114034013010011
63455212343040
7413423653203
oct76077004000
923462403026
108338016256
113599658029
121748474a80
13a2b59183b
1459153593a
1533c018506
hex1f0fc0800

8338016256 has 96 divisors (see below), whose sum is σ = 22300780320. Its totient is φ = 2770403328.

The previous prime is 8338016227. The next prime is 8338016257. The reversal of 8338016256 is 6526108338.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8338016257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2068515 + ... + 2072541.

It is an arithmetic number, because the mean of its divisors is an integer number (232299795).

Almost surely, 28338016256 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 8338016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11150390160).

8338016256 is an abundant number, since it is smaller than the sum of its proper divisors (13962764064).

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

8338016256 is a wasteful number, since it uses less digits than its factorization.

8338016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 8338016256 is about 91312.7387389076. The cubic root of 8338016256 is about 2027.7803604978.

The spelling of 8338016256 in words is "eight billion, three hundred thirty-eight million, sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 512 674 768 1011 1024 1348 1536 2022 2048 2696 3072 4027 4044 5392 6144 8054 8088 10784 12081 16108 16176 21568 24162 32216 32352 43136 48324 64432 64704 86272 96648 128864 129408 172544 193296 257728 258816 345088 386592 515456 517632 690176 773184 1030912 1035264 1357099 1546368 2061824 2070528 2714198 3092736 4071297 4123648 5428396 6185472 8142594 8247296 10856792 12370944 16285188 21713584 24741888 32570376 43427168 65140752 86854336 130281504 173708672 260563008 347417344 521126016 694834688 1042252032 1389669376 2084504064 2779338752 4169008128 8338016256