[go: up one dir, main page]

Search a number
-
+
2132961856 = 262322512
BaseRepresentation
bin111111100100010…
…0110101001000000
312111122112200121021
41333020212221000
513332014234411
6551352435224
7103566606454
oct17710465100
95448480537
102132961856
119a50018a3
124b63a8b14
1327cb8c00c
141633ca664
15c73c8a71
hex7f226a40

2132961856 has 63 divisors (see below), whose sum is σ = 4442321443. Its totient is φ = 1016048000.

The previous prime is 2132961791. The next prime is 2132961881. The reversal of 2132961856 is 6581692312.

The square root of 2132961856 is 46184.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8497731 + ... + 8497981.

Almost surely, 22132961856 is an apocalyptic number.

2132961856 is the 46184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132961856

2132961856 is an abundant number, since it is smaller than the sum of its proper divisors (2309359587).

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

2132961856 is an frugal number, since it uses more digits than its factorization.

2132961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 276 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The cubic root of 2132961856 is about 1287.2444548405.

The spelling of 2132961856 in words is "two billion, one hundred thirty-two million, nine hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 251 368 502 529 736 1004 1058 1472 2008 2116 4016 4232 5773 8032 8464 11546 16064 16928 23092 33856 46184 63001 92368 126002 132779 184736 252004 265558 369472 504008 531116 1008016 1062232 1449023 2016032 2124464 2898046 4032064 4248928 5796092 8497856 11592184 23184368 33327529 46368736 66655058 92737472 133310116 266620232 533240464 1066480928 2132961856