Search a number
-
+
2049188988 = 22371119151773
BaseRepresentation
bin111101000100100…
…0010010001111100
312021210220120211110
41322021002101330
513144043021423
6535201122020
7101531550630
oct17211022174
95253816743
102049188988
11961794020
12492329310
1326870a582
14156220dc0
15bed7c193
hex7a24247c

2049188988 has 192 divisors, whose sum is σ = 6324756480. Its totient is φ = 500256000.

The previous prime is 2049188987. The next prime is 2049189041. The reversal of 2049188988 is 8898819402.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049188987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2650570 + ... + 2651342.

It is an arithmetic number, because the mean of its divisors is an integer number (32941440).

Almost surely, 22049188988 is an apocalyptic number.

2049188988 is a gapful number since it is divisible by the number (28) 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 2049188988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162378240).

2049188988 is an abundant number, since it is smaller than the sum of its proper divisors (4275567492).

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

2049188988 is a wasteful number, since it uses less digits than its factorization.

2049188988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The square root of 2049188988 is about 45267.9686754332. The cubic root of 2049188988 is about 1270.1665493440.

The spelling of 2049188988 in words is "two billion, forty-nine million, one hundred eighty-eight thousand, nine hundred eighty-eight".