Search a number
-
+
2496254000 = 24538591453
BaseRepresentation
bin1001010011001001…
…1101000000110000
320102222010211201212
42110302131000300
520103020112000
61051411215252
7115600544312
oct22462350060
96388124655
102496254000
111071085639
12597ba7528
1330a21a396
141997577b2
15e923ac35
hex94c9d030

2496254000 has 80 divisors (see below), whose sum is σ = 6047127840. Its totient is φ = 996652800.

The previous prime is 2496253937. The next prime is 2496254003. The reversal of 2496254000 is 4526942.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2496254003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717274 + ... + 1718726.

It is an arithmetic number, because the mean of its divisors is an integer number (75589098).

Almost surely, 22496254000 is an apocalyptic number.

2496254000 is a gapful number since it is divisible by the number (20) 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 2496254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023563920).

2496254000 is an abundant number, since it is smaller than the sum of its proper divisors (3550873840).

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

2496254000 is a wasteful number, since it uses less digits than its factorization.

2496254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2496254000 is about 49962.5259569610. The cubic root of 2496254000 is about 1356.5305888771.

The spelling of 2496254000 in words is "two billion, four hundred ninety-six million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 859 1000 1453 1718 2000 2906 3436 4295 5812 6872 7265 8590 11624 13744 14530 17180 21475 23248 29060 34360 36325 42950 58120 68720 72650 85900 107375 116240 145300 171800 181625 214750 290600 343600 363250 429500 581200 726500 859000 1248127 1453000 1718000 2496254 2906000 4992508 6240635 9985016 12481270 19970032 24962540 31203175 49925080 62406350 99850160 124812700 156015875 249625400 312031750 499250800 624063500 1248127000 2496254000