Search a number
-
+
966525896 = 237194092221
BaseRepresentation
bin111001100111000…
…000001111001000
32111100200121021102
4321213000033020
53434412312041
6235524000532
732644222520
oct7147001710
92440617242
10966525896
11456640236
1222b830148
13125319b1b
1492516680
1559cbd09b
hex399c03c8

966525896 has 64 divisors (see below), whose sum is σ = 2186448000. Its totient is φ = 391288320.

The previous prime is 966525887. The next prime is 966525983. The reversal of 966525896 is 698525669.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 434066 + ... + 436286.

It is an arithmetic number, because the mean of its divisors is an integer number (34163250).

Almost surely, 2966525896 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 966525896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093224000).

966525896 is an abundant number, since it is smaller than the sum of its proper divisors (1219922104).

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

966525896 is a wasteful number, since it uses less digits than its factorization.

966525896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 56.

The square root of 966525896 is about 31088.9995979285. Note that the first 3 decimals coincide. The cubic root of 966525896 is about 988.7150953000.

The spelling of 966525896 in words is "nine hundred sixty-six million, five hundred twenty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 409 532 818 1064 1636 2221 2863 3272 4442 5726 7771 8884 11452 15542 15547 17768 22904 31084 31094 42199 54397 62168 62188 84398 108794 124376 168796 217588 295393 337592 435176 590786 908389 1181572 1816778 2363144 3633556 6358723 7267112 12717446 17259391 25434892 34518782 50869784 69037564 120815737 138075128 241631474 483262948 966525896