Search a number
-
+
4808417152 = 277112916823
BaseRepresentation
bin1000111101001101…
…01001111110000000
3110102002212220022011
410132212221332000
534321423322102
62113045022304
7230104604620
oct43646517600
913362786264
104808417152
112048253a80
12b223b4994
135b8260866
14338870880
151d22112d7
hex11e9a9f80

4808417152 has 128 divisors (see below), whose sum is σ = 12355545600. Its totient is φ = 1808701440.

The previous prime is 4808417143. The next prime is 4808417183. The reversal of 4808417152 is 2517148084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48084171523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 277413 + ... + 294235.

It is an arithmetic number, because the mean of its divisors is an integer number (96527700).

Almost surely, 24808417152 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 4808417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177772800).

4808417152 is an abundant number, since it is smaller than the sum of its proper divisors (7547128448).

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

4808417152 is a wasteful number, since it uses less digits than its factorization.

4808417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 4808417152 is about 69342.7512577919. The cubic root of 4808417152 is about 1687.8507688353.

The spelling of 4808417152 in words is "four billion, eight hundred eight million, four hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 896 928 1232 1276 1408 1624 1856 2233 2464 2552 3248 3712 4466 4928 5104 6496 8932 9856 10208 12992 16823 17864 20416 25984 33646 35728 40832 67292 71456 117761 134584 142912 185053 235522 269168 285824 370106 471044 487867 538336 740212 942088 975734 1076672 1295371 1480424 1884176 1951468 2153344 2590742 2960848 3415069 3768352 3902936 5181484 5366537 5921696 6830138 7536704 7805872 10362968 10733074 11843392 13660276 15073408 15611744 20725936 21466148 23686784 27320552 31223488 37565759 41451872 42932296 54641104 62446976 75131518 82903744 85864592 109282208 150263036 165807488 171729184 218564416 300526072 343458368 437128832 601052144 686916736 1202104288 2404208576 4808417152