Search a number
-
+
2027889552 = 2431331791327
BaseRepresentation
bin111100011011111…
…0010001110010000
312020022211110111110
41320313302032100
513123114431202
6533120413320
7101152530303
oct17067621620
95208743443
102027889552
11950766487
12487177240
13264190860
14153478b3a
15bd07126c
hex78df2390

2027889552 has 160 divisors (see below), whose sum is σ = 5901844480. Its totient is φ = 595745280.

The previous prime is 2027889547. The next prime is 2027889559. The reversal of 2027889552 is 2559887202.

It is a happy number.

It is a super-2 number, since 2×20278895522 = 8224672070221521408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2027889559) 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, 1527513 + ... + 1528839.

It is an arithmetic number, because the mean of its divisors is an integer number (36886528).

Almost surely, 22027889552 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 2027889552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950922240).

2027889552 is an abundant number, since it is smaller than the sum of its proper divisors (3873954928).

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

2027889552 is a wasteful number, since it uses less digits than its factorization.

2027889552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2027889552 is about 45032.0946881222. The cubic root of 2027889552 is about 1265.7504755439.

The spelling of 2027889552 in words is "two billion, twenty-seven million, eight hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 104 124 156 158 186 208 237 248 312 316 372 403 474 496 624 632 744 806 948 1027 1209 1264 1327 1488 1612 1896 2054 2418 2449 2654 3081 3224 3792 3981 4108 4836 4898 5308 6162 6448 7347 7962 8216 9672 9796 10616 12324 14694 15924 16432 17251 19344 19592 21232 24648 29388 31837 31848 34502 39184 41137 49296 51753 58776 63674 63696 69004 82274 95511 103506 104833 117552 123411 127348 138008 164548 191022 207012 209666 246822 254696 276016 314499 329096 382044 414024 419332 493644 509392 534781 628998 658192 764088 828048 838664 987288 1069562 1257996 1362829 1528176 1604343 1677328 1974576 2139124 2515992 2725658 3208686 3249823 4088487 4278248 5031984 5451316 6417372 6499646 8176974 8556496 9749469 10902632 12834744 12999292 16353948 19498938 21805264 25669488 25998584 32707896 38997876 42247699 51997168 65415792 77995752 84495398 126743097 155991504 168990796 253486194 337981592 506972388 675963184 1013944776 2027889552