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1530084352 = 2108091847
BaseRepresentation
bin101101100110011…
…0011110000000000
310221122010100010211
41123030303300000
511113200144402
6411455003504
752626334216
oct13314636000
93848110124
101530084352
11715769025
12368509594
131b4cc6774
141072d4cb6
158e4dd4d7
hex5b333c00

1530084352 has 44 divisors (see below), whose sum is σ = 3064113360. Its totient is φ = 763682816.

The previous prime is 1530084319. The next prime is 1530084373. The reversal of 1530084352 is 2534800351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827493 + ... + 829339.

It is an arithmetic number, because the mean of its divisors is an integer number (69638940).

Almost surely, 21530084352 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 1530084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532056680).

1530084352 is an abundant number, since it is smaller than the sum of its proper divisors (1534029008).

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

1530084352 is an equidigital number, since it uses as much as digits as its factorization.

1530084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1530084352 is about 39116.2926668671. The cubic root of 1530084352 is about 1152.3165282478.

The spelling of 1530084352 in words is "one billion, five hundred thirty million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 809 1024 1618 1847 3236 3694 6472 7388 12944 14776 25888 29552 51776 59104 103552 118208 207104 236416 414208 472832 828416 945664 1494223 1891328 2988446 5976892 11953784 23907568 47815136 95630272 191260544 382521088 765042176 1530084352