Search a number
-
+
575257452 = 22372111931151
BaseRepresentation
bin100010010010011…
…011101101101100
31111002110002212120
4202102123231230
52134231214302
6133025432540
720153415300
oct4222335554
91432402776
10575257452
11275799490
1214079b750
1392244933
1456585d00
15357819bc
hex2249bb6c

575257452 has 288 divisors, whose sum is σ = 1863106560. Its totient is φ = 136080000.

The previous prime is 575257411. The next prime is 575257457. The reversal of 575257452 is 254752575.

575257452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5752574522 = 661842272163064608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (575257457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3809577 + ... + 3809727.

It is an arithmetic number, because the mean of its divisors is an integer number (6469120).

Almost surely, 2575257452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575257452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931553280).

575257452 is an abundant number, since it is smaller than the sum of its proper divisors (1287849108).

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

575257452 is a wasteful number, since it uses less digits than its factorization.

575257452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its digits is 490000, while the sum is 42.

The square root of 575257452 is about 23984.5252610928. The cubic root of 575257452 is about 831.6758379522.

The spelling of 575257452 in words is "five hundred seventy-five million, two hundred fifty-seven thousand, four hundred fifty-two".