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4838691456 = 273213132063
BaseRepresentation
bin1001000000110100…
…01001001010000000
3110111012211222211200
410200122021022000
534402201111311
62120045541200
7230623125114
oct44032111200
913435758750
104838691456
112063351565
12b30574800
135c1600651
1433c8b1744
151d4be1556
hex120689280

4838691456 has 96 divisors (see below), whose sum is σ = 14030565120. Its totient is φ = 1600535040.

The previous prime is 4838691443. The next prime is 4838691479. The reversal of 4838691456 is 6541968384.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134881 + ... + 166943.

It is an arithmetic number, because the mean of its divisors is an integer number (146151720).

Almost surely, 24838691456 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 4838691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015282560).

4838691456 is an abundant number, since it is smaller than the sum of its proper divisors (9191873664).

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

4838691456 is a wasteful number, since it uses less digits than its factorization.

4838691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32214 (or 32199 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4838691456 is about 69560.7033891981. The cubic root of 4838691456 is about 1691.3856562819.

The spelling of 4838691456 in words is "four billion, eight hundred thirty-eight million, six hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 1048 1152 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 16768 18864 25152 32063 37728 50304 64126 75456 96189 128252 150912 192378 256504 288567 384756 513008 577134 769512 1026016 1154268 1539024 2052032 2308536 3078048 4104064 4200253 4617072 6156096 8400506 9234144 12312192 12600759 16801012 18468288 25201518 33602024 36936576 37802277 50403036 67204048 75604554 100806072 134408096 151209108 201612144 268816192 302418216 403224288 537632384 604836432 806448576 1209672864 1612897152 2419345728 4838691456