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627797052 = 2232235971181
BaseRepresentation
bin100101011010110…
…110110000111100
31121202022101122200
4211122312300330
52241204001202
6142143511500
721362121051
oct4532666074
91552271580
10627797052
112a2414243
121562b8590
13a00abc5c
145d541028
153a1ade1c
hex256b6c3c

627797052 has 144 divisors (see below), whose sum is σ = 1717148160. Its totient is φ = 192931200.

The previous prime is 627796997. The next prime is 627797077. The reversal of 627797052 is 250797726.

It is a super-3 number, since 3×6277970523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 627796989 and 627797007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468402 + ... + 3468582.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2627797052 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 627797052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

627797052 is an abundant number, since it is smaller than the sum of its proper divisors (1089351108).

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

627797052 is a wasteful number, since it uses less digits than its factorization.

627797052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 627797052 is about 25055.8785916599. The cubic root of 627797052 is about 856.2615131775.

The spelling of 627797052 in words is "six hundred twenty-seven million, seven hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 71 92 118 138 142 177 181 207 213 236 276 284 354 362 414 426 531 543 639 708 724 828 852 1062 1086 1278 1357 1629 1633 2124 2172 2556 2714 3258 3266 4071 4163 4189 4899 5428 6516 6532 8142 8326 8378 9798 10679 12213 12489 12567 12851 14697 16284 16652 16756 19596 21358 24426 24978 25134 25702 29394 32037 37467 37701 38553 42716 48852 49956 50268 51404 58788 64074 74934 75402 77106 96111 96347 115659 128148 149868 150804 154212 192222 192694 231318 245617 289041 295573 384444 385388 462636 491234 578082 591146 736851 758209 867123 886719 982468 1156164 1182292 1473702 1516418 1734246 1773438 2210553 2274627 2660157 2947404 3032836 3468492 3546876 4421106 4549254 5320314 6823881 8842212 9098508 10640628 13647762 17438807 27295524 34877614 52316421 69755228 104632842 156949263 209265684 313898526 627797052