Search a number
-
+
3525089760 = 253351967641
BaseRepresentation
bin1101001000011100…
…1001100111100000
3100002200002010002000
43102013021213200
524204410333020
61341442524000
7153232524423
oct32207114740
910080063060
103525089760
111549904125
12824666600
1344241263a
1425624d9ba
15159716090
hexd21c99e0

3525089760 has 384 divisors, whose sum is σ = 13201574400. Its totient is φ = 875888640.

The previous prime is 3525089749. The next prime is 3525089761. The reversal of 3525089760 is 679805253.

It is a happy number.

3525089760 is a `hidden beast` number, since 3 + 52 + 508 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3525089761) 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, 5499040 + ... + 5499680.

It is an arithmetic number, because the mean of its divisors is an integer number (34379100).

Almost surely, 23525089760 is an apocalyptic number.

3525089760 is a gapful number since it is divisible by the number (30) 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 3525089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600787200).

3525089760 is an abundant number, since it is smaller than the sum of its proper divisors (9676484640).

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

3525089760 is a wasteful number, since it uses less digits than its factorization.

3525089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3525089760 is about 59372.4663459419. The cubic root of 3525089760 is about 1521.9138173898.

The spelling of 3525089760 in words is "three billion, five hundred twenty-five million, eighty-nine thousand, seven hundred sixty".