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2552677248 = 27311619907
BaseRepresentation
bin1001100000100110…
…1100001110000000
320120220022102212210
42120021230032000
520211441132443
61101144422120
7120154253502
oct23011541600
96526272783
102552677248
11109aa13220
125b2a77940
13318b14314
141a3043d72
15ee183c33
hex9826c380

2552677248 has 128 divisors (see below), whose sum is σ = 7518983040. Its totient is φ = 760780800.

The previous prime is 2552677223. The next prime is 2552677273. The reversal of 2552677248 is 8427762552.

It is an interprime number because it is at equal distance from previous prime (2552677223) and next prime (2552677273).

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

It is a super-2 number, since 2×25526772482 = 13032322264913707008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2552677197 and 2552677206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252711 + ... + 262617.

It is an arithmetic number, because the mean of its divisors is an integer number (58742055).

Almost surely, 22552677248 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 2552677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759491520).

2552677248 is an abundant number, since it is smaller than the sum of its proper divisors (4966305792).

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

2552677248 is a wasteful number, since it uses less digits than its factorization.

2552677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9984 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 2552677248 is about 50524.0264428717. The cubic root of 2552677248 is about 1366.6751648358.

The spelling of 2552677248 in words is "two billion, five hundred fifty-two million, six hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 976 1056 1342 1408 1464 1952 2013 2112 2684 2928 3904 4026 4224 5368 5856 7808 8052 9907 10736 11712 16104 19814 21472 23424 29721 32208 39628 42944 59442 64416 79256 85888 108977 118884 128832 158512 217954 237768 257664 317024 326931 435908 475536 604327 634048 653862 871816 951072 1208654 1268096 1307724 1743632 1812981 1902144 2417308 2615448 3487264 3625962 3804288 4834616 5230896 6647597 6974528 7251924 9669232 10461792 13295194 13949056 14503848 19338464 19942791 20923584 26590388 29007696 38676928 39885582 41847168 53180776 58015392 77353856 79771164 106361552 116030784 159542328 212723104 232061568 319084656 425446208 638169312 850892416 1276338624 2552677248