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4808884416 = 26379736887
BaseRepresentation
bin1000111101010000…
…11100000011000000
3110102010202122021020
410132220130003000
534322033300131
62113103025440
7230111562120
oct43650340300
913363678236
104808884416
112048543046
12b2259b280
135b839544b
14338952c80
151d22a4996
hex11ea1c0c0

4808884416 has 112 divisors (see below), whose sum is σ = 14691457536. Its totient is φ = 1359765504.

The previous prime is 4808884343. The next prime is 4808884427. The reversal of 4808884416 is 6144888084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×48088844163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111925 + ... + 148811.

It is an arithmetic number, because the mean of its divisors is an integer number (131173728).

Almost surely, 24808884416 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 4808884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345728768).

4808884416 is an abundant number, since it is smaller than the sum of its proper divisors (9882573120).

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

4808884416 is a wasteful number, since it uses less digits than its factorization.

4808884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37006 (or 36996 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The square root of 4808884416 is about 69346.1204105897. The cubic root of 4808884416 is about 1687.9054400733.

The spelling of 4808884416 in words is "four billion, eight hundred eight million, eight hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 672 679 776 1164 1344 1358 1552 2037 2328 2716 3104 4074 4656 5432 6208 8148 9312 10864 16296 18624 21728 32592 36887 43456 65184 73774 110661 130368 147548 221322 258209 295096 442644 516418 590192 774627 885288 1032836 1180384 1549254 1770576 2065672 2360768 3098508 3541152 3578039 4131344 6197016 7082304 7156078 8262688 10734117 12394032 14312156 16525376 21468234 24788064 25046273 28624312 42936468 49576128 50092546 57248624 75138819 85872936 100185092 114497248 150277638 171745872 200370184 228994496 300555276 343491744 400740368 601110552 686983488 801480736 1202221104 1602961472 2404442208 4808884416