Search a number
-
+
2493267750 = 233532947271
BaseRepresentation
bin1001010010011100…
…0011111100100110
320102202112010101000
42110213003330212
520101234032000
61051223214130
7115533266121
oct22447037446
96382463330
102493267750
11106a425a66
12596ba7346
1330971307c
141991bb3b8
15e8d4b000
hex949c3f26

2493267750 has 256 divisors, whose sum is σ = 7332249600. Its totient is φ = 625968000.

The previous prime is 2493267743. The next prime is 2493267841. The reversal of 2493267750 is 577623942.

2493267750 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2493267696 and 2493267705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9200115 + ... + 9200385.

It is an arithmetic number, because the mean of its divisors is an integer number (28641600).

Almost surely, 22493267750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493267750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666124800).

2493267750 is an abundant number, since it is smaller than the sum of its proper divisors (4838981850).

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

2493267750 is a wasteful number, since it uses less digits than its factorization.

2493267750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2493267750 is about 49932.6321156816. The cubic root of 2493267750 is about 1355.9894372268.

The spelling of 2493267750 in words is "two billion, four hundred ninety-three million, two hundred sixty-seven thousand, seven hundred fifty".