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4480530984 = 2333372112657
BaseRepresentation
bin1000010110000111…
…10111101000101000
3102120020220120001000
410023003313220220
533134003442414
62020333155000
7216013612356
oct41303675050
912506816030
104480530984
11199a163276
12a5062ba60
1356534ac87
143070bc7d6
151b3544b09
hex10b0f7a28

4480530984 has 128 divisors (see below), whose sum is σ = 12847708800. Its totient is φ = 1445713920.

The previous prime is 4480530959. The next prime is 4480530991. The reversal of 4480530984 is 4890350844.

It is a happy number.

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, 1684984 + ... + 1687640.

It is an arithmetic number, because the mean of its divisors is an integer number (100372725).

Almost surely, 24480530984 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 4480530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423854400).

4480530984 is an abundant number, since it is smaller than the sum of its proper divisors (8367177816).

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

4480530984 is a wasteful number, since it uses less digits than its factorization.

4480530984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4480530984 is about 66936.7685506254. The cubic root of 4480530984 is about 1648.5792464146.

The spelling of 4480530984 in words is "four billion, four hundred eighty million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 211 216 222 296 333 422 444 633 666 844 888 999 1266 1332 1688 1899 1998 2532 2657 2664 3798 3996 5064 5314 5697 7596 7807 7971 7992 10628 11394 15192 15614 15942 21256 22788 23421 23913 31228 31884 45576 46842 47826 62456 63768 70263 71739 93684 95652 98309 140526 143478 187368 191304 196618 210789 281052 286956 294927 393236 421578 560627 562104 573912 589854 786472 843156 884781 1121254 1179708 1681881 1686312 1769562 2242508 2359416 2654343 3363762 3539124 4485016 5045643 5308686 6727524 7078248 10091286 10617372 13455048 15136929 20182572 20743199 21234744 30273858 40365144 41486398 60547716 62229597 82972796 121095432 124459194 165945592 186688791 248918388 373377582 497836776 560066373 746755164 1120132746 1493510328 2240265492 4480530984