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530292672 = 263271367151
BaseRepresentation
bin11111100110111…
…001111111000000
31100221211122210100
4133212321333000
52041223331142
6124342002400
716066261530
oct3746717700
91327748710
10530292672
11252377808
12129716400
1385b30360
14505dd4c0
153184db4c
hex1f9b9fc0

530292672 has 336 divisors, whose sum is σ = 1911250432. Its totient is φ = 136857600.

The previous prime is 530292671. The next prime is 530292673. The reversal of 530292672 is 276292035.

It is an interprime number because it is at equal distance from previous prime (530292671) and next prime (530292673).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530292671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3511797 + ... + 3511947.

Almost surely, 2530292672 is an apocalyptic number.

530292672 is a gapful number since it is divisible by the number (52) 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 530292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955625216).

530292672 is an abundant number, since it is smaller than the sum of its proper divisors (1380957760).

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

530292672 is a wasteful number, since it uses less digits than its factorization.

530292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 530292672 is about 23028.0844188135. The cubic root of 530292672 is about 809.4161682215.

The spelling of 530292672 in words is "five hundred thirty million, two hundred ninety-two thousand, six hundred seventy-two".