Search a number
-
+
706742816 = 251315111251
BaseRepresentation
bin101010001000000…
…000101000100000
31211020212020212212
4222020000220200
52421411232231
6154043541252
723341133453
oct5210005040
91736766785
10706742816
11332a3537a
1217882a828
13b3560520
1469c1149a
15420a542b
hex2a200a20

706742816 has 48 divisors (see below), whose sum is σ = 1508488128. Its totient is φ = 324000000.

The previous prime is 706742779. The next prime is 706742833. The reversal of 706742816 is 618247607.

It is a super-3 number, since 3×7067428163 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57191 + ... + 68441.

It is an arithmetic number, because the mean of its divisors is an integer number (31426836).

Almost surely, 2706742816 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 706742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754244064).

706742816 is an abundant number, since it is smaller than the sum of its proper divisors (801745312).

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

706742816 is a wasteful number, since it uses less digits than its factorization.

706742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 706742816 is about 26584.6349608190. The cubic root of 706742816 is about 890.7458361066.

The spelling of 706742816 in words is "seven hundred six million, seven hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 302 416 604 1208 1963 2416 3926 4832 7852 11251 15704 22502 31408 45004 62816 90008 146263 180016 292526 360032 585052 1170104 1698901 2340208 3397802 4680416 6795604 13591208 22085713 27182416 44171426 54364832 88342852 176685704 353371408 706742816