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1028542464 = 2123227901
BaseRepresentation
bin111101010011100…
…101000000000000
32122200101101000100
4331103211000000
54101301324324
6250021122400
734326316035
oct7523450000
92580341010
101028542464
114886491a4
12248559400
13135121911
149a85b38c
156046d4c9
hex3d4e5000

1028542464 has 78 divisors (see below), whose sum is σ = 2971088666. Its totient is φ = 342835200.

The previous prime is 1028542453. The next prime is 1028542519. The reversal of 1028542464 is 4642458201.

1028542464 is a `hidden beast` number, since 102 + 8 + 542 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1003622400 + 24920064 = 31680^2 + 4992^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22914 + ... + 50814.

Almost surely, 21028542464 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 1028542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485544333).

1028542464 is an abundant number, since it is smaller than the sum of its proper divisors (1942546202).

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

1028542464 is an equidigital number, since it uses as much as digits as its factorization.

1028542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27931 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1028542464 is about 32070.8974617175. The cubic root of 1028542464 is about 1009.4250441297.

The spelling of 1028542464 in words is "one billion, twenty-eight million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 27901 36864 55802 83703 111604 167406 223208 251109 334812 446416 502218 669624 892832 1004436 1339248 1785664 2008872 2678496 3571328 4017744 5356992 7142656 8035488 10713984 14285312 16070976 21427968 28570624 32141952 42855936 57141248 64283904 85711872 114282496 128567808 171423744 257135616 342847488 514271232 1028542464