Search a number
-
+
530733888 = 26323129723
BaseRepresentation
bin11111101000100…
…101101101000000
31100222200002000200
4133220211231000
52041331441023
6124355245200
716103110056
oct3750455500
91328602020
10530733888
11252649253
121298a9800
1385c56129
14506b61d6
15318d9743
hex1fa25b40

530733888 has 84 divisors (see below), whose sum is σ = 1570378368. Its totient is φ = 171198720.

The previous prime is 530733869. The next prime is 530733893. The reversal of 530733888 is 888337035.

It is a happy number.

530733888 is a `hidden beast` number, since 5 + 307 + 338 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2995 + ... + 32717.

Almost surely, 2530733888 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 530733888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785189184).

530733888 is an abundant number, since it is smaller than the sum of its proper divisors (1039644480).

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

530733888 is a wasteful number, since it uses less digits than its factorization.

530733888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29772 (or 29759 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 530733888 is about 23037.6623814136. The cubic root of 530733888 is about 809.6405904337.

The spelling of 530733888 in words is "five hundred thirty million, seven hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 29723 59446 89169 118892 178338 237784 267507 356676 475568 535014 713352 921413 951136 1070028 1426704 1842826 1902272 2140056 2764239 2853408 3685652 4280112 5528478 5706816 7371304 8292717 8560224 11056956 14742608 16585434 17120448 22113912 29485216 33170868 44227824 58970432 66341736 88455648 132683472 176911296 265366944 530733888