Search a number
-
+
706678752 = 253134631223
BaseRepresentation
bin101010000111110…
…000111111100000
31211020202000000010
4222013300333200
52421402210002
6154042324520
723340445623
oct5207607740
91736660003
10706678752
113329a122a
121787b9740
13b353a310
1469bd5dba
154209146c
hex2a1f0fe0

706678752 has 96 divisors (see below), whose sum is σ = 2003678208. Its totient is φ = 216792576.

The previous prime is 706678649. The next prime is 706678771. The reversal of 706678752 is 257876607.

706678752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 577213 + ... + 578435.

It is an arithmetic number, because the mean of its divisors is an integer number (20871648).

Almost surely, 2706678752 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 706678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001839104).

706678752 is an abundant number, since it is smaller than the sum of its proper divisors (1296999456).

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

706678752 is a wasteful number, since it uses less digits than its factorization.

706678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 706678752 is about 26583.4300269924. The cubic root of 706678752 is about 890.7189208628.

The spelling of 706678752 in words is "seven hundred six million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 463 624 926 1223 1248 1389 1852 2446 2778 3669 3704 4892 5556 6019 7338 7408 9784 11112 12038 14676 14816 15899 18057 19568 22224 24076 29352 31798 36114 39136 44448 47697 48152 58704 63596 72228 95394 96304 117408 127192 144456 190788 192608 254384 288912 381576 508768 566249 577824 763152 1132498 1526304 1698747 2264996 3397494 4529992 6794988 7361237 9059984 13589976 14722474 18119968 22083711 27179952 29444948 44167422 54359904 58889896 88334844 117779792 176669688 235559584 353339376 706678752