Search a number
-
+
630470976 = 26317419461
BaseRepresentation
bin100101100101000…
…011100101000000
31121221100020120220
4211211003211000
52242400032401
6142321103040
721423625542
oct4545034500
91557306526
10630470976
112a39801a3
12157187a80
13a0807065
145da39692
153a53b336
hex25943940

630470976 has 112 divisors (see below), whose sum is σ = 1774301760. Its totient is φ = 196894720.

The previous prime is 630470969. The next prime is 630470999. The reversal of 630470976 is 679074036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367386 + ... + 1367846.

It is an arithmetic number, because the mean of its divisors is an integer number (15841980).

Almost surely, 2630470976 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 630470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887150880).

630470976 is an abundant number, since it is smaller than the sum of its proper divisors (1143830784).

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

630470976 is a wasteful number, since it uses less digits than its factorization.

630470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 630470976 is about 25109.1811097057. The cubic root of 630470976 is about 857.4754592393.

The spelling of 630470976 in words is "six hundred thirty million, four hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 419 461 544 816 838 922 1088 1257 1383 1632 1676 1844 2514 2766 3264 3352 3688 5028 5532 6704 7123 7376 7837 10056 11064 13408 14246 14752 15674 20112 21369 22128 23511 26816 28492 29504 31348 40224 42738 44256 47022 56984 62696 80448 85476 88512 94044 113968 125392 170952 188088 193159 227936 250784 341904 376176 386318 455872 501568 579477 683808 752352 772636 1158954 1367616 1504704 1545272 2317908 3090544 3283703 4635816 6181088 6567406 9271632 9851109 12362176 13134812 18543264 19702218 26269624 37086528 39404436 52539248 78808872 105078496 157617744 210156992 315235488 630470976