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1028085376 = 279778221
BaseRepresentation
bin111101010001110…
…101011010000000
32122122112011000011
4331101311122000
54101142213001
6250003234304
734322403313
oct7521653200
92578464004
101028085376
1148836683a
12248378994
13134cc1856
149a77c97a
15603ccd51
hex3d475680

1028085376 has 32 divisors (see below), whose sum is σ = 2050484580. Its totient is φ = 513454080.

The previous prime is 1028085371. The next prime is 1028085389. The reversal of 1028085376 is 6735808201.

It can be written as a sum of positive squares in 2 ways, for example, as 760435776 + 267649600 = 27576^2 + 16360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10280853762 = 2113919080690122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1028085371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120946 + ... + 129166.

Almost surely, 21028085376 is an apocalyptic number.

1028085376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1028085376 is a deficient number, since it is larger than the sum of its proper divisors (1022399204).

1028085376 is an frugal number, since it uses more digits than its factorization.

1028085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1028085376 is about 32063.7704582602. The cubic root of 1028085376 is about 1009.2754912571.

The spelling of 1028085376 in words is "one billion, twenty-eight million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 977 1954 3908 7816 8221 15632 16442 31264 32884 62528 65768 125056 131536 263072 526144 1052288 8031917 16063834 32127668 64255336 128510672 257021344 514042688 1028085376