Search a number
-
+
956000000 = 2856239
BaseRepresentation
bin111000111110110…
…110011100000000
32110121212211110102
4320332312130000
53424214000000
6234510221532
732455603004
oct7076663400
92417784412
10956000000
11450700a4a
122281b48a8
131230a2a97
1490d76704
1558dde3d5
hex38fb6700

956000000 has 126 divisors (see below), whose sum is σ = 2395281840. Its totient is φ = 380800000.

The previous prime is 955999999. The next prime is 956000009. The reversal of 956000000 is 659.

956000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999881 + ... + 4000119.

Almost surely, 2956000000 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 956000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197640920).

956000000 is an abundant number, since it is smaller than the sum of its proper divisors (1439281840).

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

956000000 is an frugal number, since it uses more digits than its factorization.

956000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 956000000 is about 30919.2496674806. The cubic root of 956000000 is about 985.1128045545.

Adding to 956000000 its reverse (659), we get a palindrome (956000659).

The spelling of 956000000 in words is "nine hundred fifty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 239 250 256 320 400 478 500 625 640 800 956 1000 1195 1250 1280 1600 1912 2000 2390 2500 3125 3200 3824 4000 4780 5000 5975 6250 6400 7648 8000 9560 10000 11950 12500 15296 15625 16000 19120 20000 23900 25000 29875 30592 31250 32000 38240 40000 47800 50000 59750 61184 62500 76480 80000 95600 100000 119500 125000 149375 152960 160000 191200 200000 239000 250000 298750 305920 382400 400000 478000 500000 597500 746875 764800 800000 956000 1000000 1195000 1493750 1529600 1912000 2000000 2390000 2987500 3734375 3824000 4000000 4780000 5975000 7468750 7648000 9560000 11950000 14937500 19120000 23900000 29875000 38240000 47800000 59750000 95600000 119500000 191200000 239000000 478000000 956000000