Search a number
-
+
48298088832 = 273725577027
BaseRepresentation
bin101100111110110010…
…100101100110000000
311121122222101010101220
4230332302211212000
51242403302320312
634104323355040
73326604660420
oct547662454600
9147588333356
1048298088832
1119535014aa4
12943ab22a80
1347292a45b6
1424a26ac480
1513ca264c8c
hexb3eca5980

48298088832 has 128 divisors (see below), whose sum is σ = 146697411840. Its totient is φ = 13792094208.

The previous prime is 48298088819. The next prime is 48298088879. The reversal of 48298088832 is 23888089284.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6869703 + ... + 6876729.

It is an arithmetic number, because the mean of its divisors is an integer number (1146073530).

Almost surely, 248298088832 is an apocalyptic number.

48298088832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48298088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73348705920).

48298088832 is an abundant number, since it is smaller than the sum of its proper divisors (98399323008).

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

48298088832 is a wasteful number, since it uses less digits than its factorization.

48298088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 48298088832 in words is "forty-eight billion, two hundred ninety-eight million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2557 2688 5114 7027 7671 10228 14054 15342 17899 20456 21081 28108 30684 35798 40912 42162 49189 53697 56216 61368 71596 81824 84324 98378 107394 112432 122736 143192 147567 163648 168648 196756 214788 224864 245472 286384 295134 327296 337296 393512 429576 449728 490944 572768 590268 674592 787024 859152 899456 981888 1145536 1180536 1349184 1574048 1718304 2291072 2361072 2698368 3148096 3436608 4722144 6296192 6873216 9444288 17968039 18888576 35936078 53904117 71872156 107808234 125776273 143744312 215616468 251552546 287488624 377328819 431232936 503105092 574977248 754657638 862465872 1006210184 1149954496 1509315276 1724931744 2012420368 2299908992 3018630552 3449863488 4024840736 6037261104 6899726976 8049681472 12074522208 16099362944 24149044416 48298088832