Search a number
-
+
1484947968 = 2937167827
BaseRepresentation
bin101100010000010…
…1000001000000000
310211111012011122220
41120200220020000
511020121313333
6403203331040
751540564240
oct13040501000
93744164586
101484947968
116a223a429
12355380a80
131a885204a
14101305b20
158a5748b3
hex58828200

1484947968 has 160 divisors (see below), whose sum is σ = 4553708544. Its totient is φ = 421220352.

The previous prime is 1484947921. The next prime is 1484947993. The reversal of 1484947968 is 8697494841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795171 + ... + 1795997.

Almost surely, 21484947968 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 1484947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276854272).

1484947968 is an abundant number, since it is smaller than the sum of its proper divisors (3068760576).

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

1484947968 is an equidigital number, since it uses as much as digits as its factorization.

1484947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1006 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 1484947968 is about 38535.0226157972. The cubic root of 1484947968 is about 1140.8724131420.

The spelling of 1484947968 in words is "one billion, four hundred eighty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 256 334 336 384 448 501 512 668 672 768 827 896 1002 1169 1336 1344 1536 1654 1792 2004 2338 2481 2672 2688 3308 3507 3584 4008 4676 4962 5344 5376 5789 6616 7014 8016 9352 9924 10688 10752 11578 13232 14028 16032 17367 18704 19848 21376 23156 26464 28056 32064 34734 37408 39696 42752 46312 52928 56112 64128 69468 74816 79392 85504 92624 105856 112224 128256 138109 138936 149632 158784 185248 211712 224448 256512 276218 277872 299264 317568 370496 414327 423424 448896 552436 555744 598528 635136 740992 828654 897792 966763 1104872 1111488 1270272 1481984 1657308 1795584 1933526 2209744 2222976 2900289 2963968 3314616 3867052 4419488 4445952 5800578 6629232 7734104 8838976 8891904 11601156 13258464 15468208 17677952 23202312 26516928 30936416 35355904 46404624 53033856 61872832 70711808 92809248 106067712 123745664 185618496 212135424 247491328 371236992 494982656 742473984 1484947968