Search a number
-
+
4528092000 = 25353401941
BaseRepresentation
bin1000011011110010…
…10011001101100000
3102200120101220111010
410031321103031200
533233142421000
62025152420520
7220132101255
oct41571231540
912616356433
104528092000
111a13a985a3
12a64547740
135721611a3
1430d53d42c
151b77dbd50
hex10de53360

4528092000 has 192 divisors, whose sum is σ = 14886825408. Its totient is φ = 1203200000.

The previous prime is 4528091993. The next prime is 4528092011. The reversal of 4528092000 is 2908254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4811530 + ... + 4812470.

It is an arithmetic number, because the mean of its divisors is an integer number (77535549).

Almost surely, 24528092000 is an apocalyptic number.

4528092000 is a gapful number since it is divisible by the number (40) 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 4528092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443412704).

4528092000 is an abundant number, since it is smaller than the sum of its proper divisors (10358733408).

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

4528092000 is a wasteful number, since it uses less digits than its factorization.

4528092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4528092000 is about 67291.0989656136. The cubic root of 4528092000 is about 1654.3919721647.

The spelling of 4528092000 in words is "four billion, five hundred twenty-eight million, ninety-two thousand".