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4840576416 = 253313233151
BaseRepresentation
bin1001000001000010…
…10101010110100000
3110111100101202112000
410200201111112200
534403141421131
62120154204000
7230645135454
oct44041252640
913440352460
104840576416
112064419785
12b31123600
135c1b10600
1433cc42664
151d4e64ce6
hex1208555a0

4840576416 has 144 divisors (see below), whose sum is σ = 15288376320. Its totient is φ = 1489363200.

The previous prime is 4840576397. The next prime is 4840576421. The reversal of 4840576416 is 6146750484.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 129441 + ... + 162591.

It is an arithmetic number, because the mean of its divisors is an integer number (106169280).

Almost surely, 24840576416 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 4840576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644188160).

4840576416 is an abundant number, since it is smaller than the sum of its proper divisors (10447799904).

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

4840576416 is a wasteful number, since it uses less digits than its factorization.

4840576416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33196 (or 33169 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4840576416 is about 69574.2510990956. The cubic root of 4840576416 is about 1691.6052597585.

The spelling of 4840576416 in words is "four billion, eight hundred forty million, five hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 11232 12168 16224 18252 24336 33151 36504 48672 66302 73008 99453 132604 146016 198906 265208 298359 397812 430963 530416 596718 795624 861926 895077 1060832 1193436 1292889 1591248 1723852 1790154 2386872 2585778 3182496 3447704 3580308 3878667 4773744 5171556 5602519 6895408 7160616 7757334 9547488 10343112 11205038 11636001 13790816 14321232 15514668 16807557 20686224 22410076 23272002 28642464 31029336 33615114 41372448 44820152 46544004 50422671 62058672 67230228 89640304 93088008 100845342 124117344 134460456 151268013 179280608 186176016 201690684 268920912 302536026 372352032 403381368 537841824 605072052 806762736 1210144104 1613525472 2420288208 4840576416