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1484989968 = 2437113710859
BaseRepresentation
bin101100010000011…
…0010011000010000
310211111021022021110
41120200302120100
511020124134333
6403204253320
751541130550
oct13040623020
93744238243
101484989968
116a2268a40
123553a1240
131a88681b7
14101317160
158a582063
hex58832610

1484989968 has 160 divisors (see below), whose sum is σ = 4912542720. Its totient is φ = 375252480.

The previous prime is 1484989927. The next prime is 1484989981. The reversal of 1484989968 is 8699894841.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1484989899 and 1484989908.

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, 131323 + ... + 142181.

It is an arithmetic number, because the mean of its divisors is an integer number (30703392).

Almost surely, 21484989968 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 1484989968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456271360).

1484989968 is an abundant number, since it is smaller than the sum of its proper divisors (3427552752).

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

1484989968 is a wasteful number, since it uses less digits than its factorization.

1484989968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10919 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 66.

The square root of 1484989968 is about 38535.5675707521. The cubic root of 1484989968 is about 1140.8831691170.

The spelling of 1484989968 in words is "one billion, four hundred eighty-four million, nine hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2442 2849 3108 3256 3696 4144 4884 5698 6216 6512 8547 9768 10859 11396 12432 17094 19536 21718 22792 32577 34188 43436 45584 65154 68376 76013 86872 119449 130308 136752 152026 173744 228039 238898 260616 304052 358347 401783 456078 477796 521232 608104 716694 803566 836143 912156 955592 1205349 1216208 1433388 1607132 1672286 1824312 1911184 2410698 2508429 2812481 2866776 3214264 3344572 3648624 4419613 4821396 5016858 5624962 5733552 6428528 6689144 8437443 8839226 9642792 10033716 11249924 13258839 13378288 16874886 17678452 19285584 20067432 22499848 26517678 30937291 33749772 35356904 40134864 44999696 53035356 61874582 67499544 70713808 92811873 106070712 123749164 134999088 185623746 212141424 247498328 371247492 494996656 742494984 1484989968