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2552532312 = 2331131615113
BaseRepresentation
bin1001100000100100…
…1000110101011000
320120220001002001210
42120021020311120
520211422013222
61101141343120
7120153111111
oct23011106530
96526032053
102552532312
11109a924340
125b2a07aa0
13318a93365
141a3007208
15ee155d0c
hex98248d58

2552532312 has 128 divisors (see below), whose sum is σ = 7305246720. Its totient is φ = 736128000.

The previous prime is 2552532277. The next prime is 2552532317. The reversal of 2552532312 is 2132352552.

It is a self number, because there is not a number n which added to its sum of digits gives 2552532312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552532317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496668 + ... + 501780.

It is an arithmetic number, because the mean of its divisors is an integer number (57072240).

Almost surely, 22552532312 is an apocalyptic number.

2552532312 is a gapful number since it is divisible by the number (22) 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 2552532312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652623360).

2552532312 is an abundant number, since it is smaller than the sum of its proper divisors (4752714408).

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

2552532312 is a wasteful number, since it uses less digits than its factorization.

2552532312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5221 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 2552532312 is about 50522.5920950222. The cubic root of 2552532312 is about 1366.6492986358.

Adding to 2552532312 its reverse (2132352552), we get a palindrome (4684884864).

The spelling of 2552532312 in words is "two billion, five hundred fifty-two million, five hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 61 62 66 88 93 122 124 132 183 186 244 248 264 341 366 372 488 671 682 732 744 1023 1342 1364 1464 1891 2013 2046 2684 2728 3782 4026 4092 5113 5368 5673 7564 8052 8184 10226 11346 15128 15339 16104 20452 20801 22692 30678 40904 41602 45384 56243 61356 62403 83204 112486 122712 124806 158503 166408 168729 224972 249612 311893 317006 337458 449944 475509 499224 623786 634012 674916 935679 951018 1247572 1268024 1349832 1743533 1871358 1902036 2495144 3430823 3487066 3742716 3804072 5230599 6861646 6974132 7485432 9668683 10292469 10461198 13723292 13948264 19337366 20584938 20922396 27446584 29006049 38674732 41169876 41844792 58012098 77349464 82339752 106355513 116024196 212711026 232048392 319066539 425422052 638133078 850844104 1276266156 2552532312