Search a number
-
+
629974968 = 233722323291
BaseRepresentation
bin100101100011001…
…010011110111000
31121220102001012020
4211203022132320
52242233144333
6142302314440
721416461500
oct4543123670
91556361166
10629974968
112a3671577
12156b88a20
13a069236c
145d94aa00
153a48e3b3
hex258ca7b8

629974968 has 96 divisors (see below), whose sum is σ = 1911807360. Its totient is φ = 172159680.

The previous prime is 629974879. The next prime is 629974979. The reversal of 629974968 is 869479926.

629974968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15403 + ... + 38693.

It is an arithmetic number, because the mean of its divisors is an integer number (19914660).

Almost surely, 2629974968 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 629974968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955903680).

629974968 is an abundant number, since it is smaller than the sum of its proper divisors (1281832392).

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

629974968 is a wasteful number, since it uses less digits than its factorization.

629974968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337 (or 23326 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 629974968 is about 25099.3021416931. The cubic root of 629974968 is about 857.2505341235.

The spelling of 629974968 in words is "six hundred twenty-nine million, nine hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 644 966 1127 1176 1288 1932 2254 3381 3864 4508 6762 9016 13524 23291 27048 46582 69873 93164 139746 163037 186328 279492 326074 489111 535693 558984 652148 978222 1071386 1141259 1304296 1607079 1956444 2142772 2282518 3214158 3423777 3749851 3912888 4285544 4565036 6428316 6847554 7499702 9130072 11249553 12856632 13695108 14999404 22499106 26248957 27390216 29998808 44998212 52497914 78746871 89996424 104995828 157493742 209991656 314987484 629974968