Search a number
-
+
968703376 = 243122512
BaseRepresentation
bin111001101111010…
…011110110010000
32111111210020012211
4321233103312100
53440442002001
6240042401504
733001562044
oct7157236620
92444706184
10968703376
11457898203
12230500294
131258ccc84
1492922024
155a09d351
hex39bd3d90

968703376 has 45 divisors (see below), whose sum is σ = 1947117099. Its totient is φ = 466860000.

The previous prime is 968703349. The next prime is 968703389. The reversal of 968703376 is 673307869.

The square root of 968703376 is 31124.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3859251 + ... + 3859501.

Almost surely, 2968703376 is an apocalyptic number.

968703376 is the 31124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968703376

968703376 is an abundant number, since it is smaller than the sum of its proper divisors (978413723).

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

968703376 is an equidigital number, since it uses as much as digits as its factorization.

968703376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The cubic root of 968703376 is about 989.4570283815.

Multiplying 968703376 by its sum of digits (49), we get a square (47466465424 = 2178682).

The spelling of 968703376 in words is "nine hundred sixty-eight million, seven hundred three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 251 496 502 961 1004 1922 2008 3844 4016 7688 7781 15376 15562 31124 62248 63001 124496 126002 241211 252004 482422 504008 964844 1008016 1929688 1953031 3859376 3906062 7812124 15624248 31248496 60543961 121087922 242175844 484351688 968703376