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530142592 = 277678831
BaseRepresentation
bin11111100110010…
…101010110000000
31100221120000220211
4133212111112000
52041204030332
6124334443504
716065065140
oct3746252600
91327500824
10530142592
11252284a81
12129663594
1385aa9c55
14505a0920
153181e447
hex1f995580

530142592 has 64 divisors (see below), whose sum is σ = 1225175040. Its totient is φ = 223787520.

The previous prime is 530142589. The next prime is 530142607. The reversal of 530142592 is 295241035.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55617 + ... + 64447.

It is an arithmetic number, because the mean of its divisors is an integer number (19143360).

Almost surely, 2530142592 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 530142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612587520).

530142592 is an abundant number, since it is smaller than the sum of its proper divisors (695032448).

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

530142592 is an equidigital number, since it uses as much as digits as its factorization.

530142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 530142592 is about 23024.8255585140. The cubic root of 530142592 is about 809.3398024417.

The spelling of 530142592 in words is "five hundred thirty million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 8831 15008 17662 30016 35324 60032 61817 70648 123634 141296 247268 282592 494536 565184 591677 989072 1130368 1183354 1978144 2366708 3956288 4141739 4733416 7912576 8283478 9466832 16566956 18933664 33133912 37867328 66267824 75734656 132535648 265071296 530142592