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530417952 = 253217131827
BaseRepresentation
bin11111100111011…
…000100100100000
31100222002000122100
4133213120210200
52041241333302
6124344410400
716100323011
oct3747304440
91328060570
10530417952
11252452949
12129776a00
1385b7539c
1450633008
1531875d1c
hex1f9d8920

530417952 has 144 divisors (see below), whose sum is σ = 1611241632. Its totient is φ = 164935680.

The previous prime is 530417947. The next prime is 530417957. The reversal of 530417952 is 259714035.

530417952 is a `hidden beast` number, since 530 + 4 + 1 + 79 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (530417947) and next prime (530417957).

It is a tau number, because it is divible by the number of its divisors (144).

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 (530417957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640963 + ... + 641789.

It is an arithmetic number, because the mean of its divisors is an integer number (11189178).

Almost surely, 2530417952 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 530417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805620816).

530417952 is an abundant number, since it is smaller than the sum of its proper divisors (1080823680).

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

530417952 is a wasteful number, since it uses less digits than its factorization.

530417952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 530417952 is about 23030.8044149569. The cubic root of 530417952 is about 809.4799038895.

The spelling of 530417952 in words is "five hundred thirty million, four hundred seventeen thousand, nine hundred fifty-two".