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968924964 = 223731607613
BaseRepresentation
bin111001110000001…
…001111100100100
32111112012111011210
4321300021330210
53441021044324
6240051231420
733003504060
oct7160117444
92445174153
10968924964
11457a29737
122305a8570
13125979aa7
149297caa0
155a0e3d29
hex39c09f24

968924964 has 96 divisors (see below), whose sum is σ = 2675900416. Its totient is φ = 267027840.

The previous prime is 968924951. The next prime is 968924981. The reversal of 968924964 is 469429869.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580322 + ... + 1580934.

Almost surely, 2968924964 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 968924964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337950208).

968924964 is an abundant number, since it is smaller than the sum of its proper divisors (1706975452).

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

968924964 is a wasteful number, since it uses less digits than its factorization.

968924964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1263 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 968924964 is about 31127.5595574083. The cubic root of 968924964 is about 989.5324677416.

The spelling of 968924964 in words is "nine hundred sixty-eight million, nine hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 607 613 651 868 1214 1226 1302 1821 1839 2428 2452 2604 3642 3678 4249 4291 7284 7356 8498 8582 12747 12873 16996 17164 18817 19003 25494 25746 37634 38006 50988 51492 56451 57009 75268 76012 112902 114018 131719 133021 225804 228036 263438 266042 372091 395157 399063 526876 532084 744182 790314 798126 1116273 1488364 1580628 1596252 2232546 2604637 4465092 5209274 7813911 10418548 11534821 15627822 23069642 31255644 34604463 46139284 69208926 80743747 138417852 161487494 242231241 322974988 484462482 968924964