Search a number
-
+
5454729000 = 233353731931
BaseRepresentation
bin1010001010010000…
…01000111100101000
3112002011000221111000
411011020020330220
542132402312000
62301133435000
7252113301000
oct50510107450
915064027430
105454729000
11234a0636a6
12108293ba60
1368c122bc6
1439a631000
1521dd2b000
hex145208f28

5454729000 has 1024 divisors, whose sum is σ = 23961600000. Its totient is φ = 1143072000.

The previous prime is 5454728963. The next prime is 5454729001. The reversal of 5454729000 is 9274545.

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

It is not an unprimeable number, because it can be changed into a prime (5454729001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175958985 + ... + 175959015.

It is an arithmetic number, because the mean of its divisors is an integer number (23400000).

Almost surely, 25454729000 is an apocalyptic number.

5454729000 is a gapful number since it is divisible by the number (50) 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 5454729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980800000).

5454729000 is an abundant number, since it is smaller than the sum of its proper divisors (18506871000).

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

5454729000 is a wasteful number, since it uses less digits than its factorization.

5454729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5454729000 is about 73856.1371857478. The cubic root of 5454729000 is about 1760.3177155419.

The spelling of 5454729000 in words is "five billion, four hundred fifty-four million, seven hundred twenty-nine thousand".