Search a number
-
+
2531126256 = 2431011274111
BaseRepresentation
bin1001011011011101…
…1110101111110000
320112101202112110220
42112313132233300
520140432020011
61055054453040
7116503134561
oct22667365760
96471675426
102531126256
11108983368a
125a7804180
13314509c59
141a0234168
15ec328506
hex96ddebf0

2531126256 has 80 divisors (see below), whose sum is σ = 6657097728. Its totient is φ = 828576000.

The previous prime is 2531126239. The next prime is 2531126261. The reversal of 2531126256 is 6526211352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613641 + ... + 617751.

Almost surely, 22531126256 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 2531126256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328548864).

2531126256 is an abundant number, since it is smaller than the sum of its proper divisors (4125971472).

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

2531126256 is a wasteful number, since it uses less digits than its factorization.

2531126256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2531126256 is about 50310.2997009559. The cubic root of 2531126256 is about 1362.8182360873.

The spelling of 2531126256 in words is "two billion, five hundred thirty-one million, one hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 127 202 254 303 381 404 508 606 762 808 1016 1212 1524 1616 2032 2424 3048 4111 4848 6096 8222 12333 12827 16444 24666 25654 32888 38481 49332 51308 65776 76962 98664 102616 153924 197328 205232 307848 415211 522097 615696 830422 1044194 1245633 1566291 1660844 2088388 2491266 3132582 3321688 4176776 4982532 6265164 6643376 8353552 9965064 12530328 19930128 25060656 52731797 105463594 158195391 210927188 316390782 421854376 632781564 843708752 1265563128 2531126256