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530551872 = 26324012297
BaseRepresentation
bin11111100111111…
…001010001000000
31100222022211100100
4133213321101000
52041310124442
6124351322400
716101421314
oct3747712100
91328284310
10530551872
11252534524
12129820400
1385bc1326
1450669b44
15318a084c
hex1f9f9440

530551872 has 84 divisors (see below), whose sum is σ = 1525187196. Its totient is φ = 176332800.

The previous prime is 530551871. The next prime is 530551921. The reversal of 530551872 is 278155035.

530551872 is a `hidden beast` number, since 5 + 30 + 551 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427000896 + 103550976 = 20664^2 + 10176^2 .

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 (530551871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229828 + ... + 232124.

Almost surely, 2530551872 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 530551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762593598).

530551872 is an abundant number, since it is smaller than the sum of its proper divisors (994635324).

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

530551872 is a wasteful number, since it uses less digits than its factorization.

530551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 530551872 is about 23033.7116418523. The cubic root of 530551872 is about 809.5480240240.

The spelling of 530551872 in words is "five hundred thirty million, five hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 401 576 802 1203 1604 2297 2406 3208 3609 4594 4812 6416 6891 7218 9188 9624 12832 13782 14436 18376 19248 20673 25664 27564 28872 36752 38496 41346 55128 57744 73504 76992 82692 110256 115488 147008 165384 220512 230976 330768 441024 661536 921097 1323072 1842194 2763291 3684388 5526582 7368776 8289873 11053164 14737552 16579746 22106328 29475104 33159492 44212656 58950208 66318984 88425312 132637968 176850624 265275936 530551872