Search a number
-
+
2494033632 = 2533191391093
BaseRepresentation
bin1001010010100111…
…1110111011100000
320102210222000222000
42110221332323200
520101433034012
61051251444000
7115542636036
oct22451767340
96383860860
102494033632
11106a8a9422
125972b6600
1330992085c
1419933a556
15e8e4cddc
hex94a7eee0

2494033632 has 192 divisors, whose sum is σ = 7719264000. Its totient is φ = 781208064.

The previous prime is 2494033621. The next prime is 2494033679. The reversal of 2494033632 is 2363304942.

2494033632 is a `hidden beast` number, since 249 + 403 + 3 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×24940336322 = 12440407515094222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2281278 + ... + 2282370.

It is an arithmetic number, because the mean of its divisors is an integer number (40204500).

Almost surely, 22494033632 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 2494033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859632000).

2494033632 is an abundant number, since it is smaller than the sum of its proper divisors (5225230368).

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

2494033632 is a wasteful number, since it uses less digits than its factorization.

2494033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2494033632 is about 49940.3006799118. The cubic root of 2494033632 is about 1356.1282672932.

The spelling of 2494033632 in words is "two billion, four hundred ninety-four million, thirty-three thousand, six hundred thirty-two".