Search a number
-
+
4326137088 = 283721337239
BaseRepresentation
bin1000000011101101…
…11001110100000000
3102011111101112102120
410001312321310000
532324442341323
61553140044240
7212130362400
oct40166716400
912144345376
104326137088
11191aa9a909
12a08993680
1353c371140
142d07ac800
151a4be85e3
hex101db9d00

4326137088 has 432 divisors, whose sum is σ = 14875741440. Its totient is φ = 1105477632.

The previous prime is 4326137059. The next prime is 4326137107. The reversal of 4326137088 is 8807316234.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18100873 + ... + 18101111.

Almost surely, 24326137088 is an apocalyptic number.

4326137088 is a gapful number since it is divisible by the number (48) 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 4326137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437870720).

4326137088 is an abundant number, since it is smaller than the sum of its proper divisors (10549604352).

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

4326137088 is a wasteful number, since it uses less digits than its factorization.

4326137088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4326137088 is about 65773.3767416574. The cubic root of 4326137088 is about 1629.4214374323.

The spelling of 4326137088 in words is "four billion, three hundred twenty-six million, one hundred thirty-seven thousand, eighty-eight".