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2555329248 = 253314811997
BaseRepresentation
bin1001100001001111…
…0011101011100000
320121002022011202000
42120103303223200
520213131013443
61101321324000
7120215640333
oct23023635340
96532264660
102555329248
1110a146475a
125b3936600
13319532454
141a353461a
15ee5098d3
hex984f3ae0

2555329248 has 96 divisors (see below), whose sum is σ = 7461810720. Its totient is φ = 850775040.

The previous prime is 2555329241. The next prime is 2555329307. The reversal of 2555329248 is 8429235552.

2555329248 is a `hidden beast` number, since 2 + 5 + 553 + 2 + 92 + 4 + 8 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555329241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278586 + ... + 1280582.

It is an arithmetic number, because the mean of its divisors is an integer number (77727195).

Almost surely, 22555329248 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 2555329248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730905360).

2555329248 is an abundant number, since it is smaller than the sum of its proper divisors (4906481472).

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

2555329248 is a wasteful number, since it uses less digits than its factorization.

2555329248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3483 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2555329248 is about 50550.2645690406. The cubic root of 2555329248 is about 1367.1482848532.

The spelling of 2555329248 in words is "two billion, five hundred fifty-five million, three hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1481 1997 2962 3994 4443 5924 5991 7988 8886 11848 11982 13329 15976 17772 17973 23696 23964 26658 31952 35544 35946 39987 47392 47928 53316 53919 63904 71088 71892 79974 95856 106632 107838 142176 143784 159948 191712 213264 215676 287568 319896 426528 431352 575136 639792 862704 1279584 1725408 2957557 5915114 8872671 11830228 17745342 23660456 26618013 35490684 47320912 53236026 70981368 79854039 94641824 106472052 141962736 159708078 212944104 283925472 319416156 425888208 638832312 851776416 1277664624 2555329248