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1028741476 = 2272292792
BaseRepresentation
bin111101010100010…
…101100101100100
32122200202111000011
4331110111211210
54101324211401
6250025300004
734331105200
oct7524254544
92580674004
101028741476
11488774774
12248634604
13135191389
149a8adb00
15604ac451
hex3d515964

1028741476 has 81 divisors (see below), whose sum is σ = 2196730809. Its totient is φ = 420297696.

The previous prime is 1028741449. The next prime is 1028741513. The reversal of 1028741476 is 6741478201.

It is a happy number.

The square root of 1028741476 is 32074.

It is a perfect power (a square), and thus also a powerful number.

1028741476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 539447076 + 489294400 = 23226^2 + 22120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13022005 + ... + 13022083.

Almost surely, 21028741476 is an apocalyptic number.

1028741476 is the 32074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028741476

1028741476 is an abundant number, since it is smaller than the sum of its proper divisors (1167989333).

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

1028741476 is an equidigital number, since it uses as much as digits as its factorization.

1028741476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The cubic root of 1028741476 is about 1009.4901442588.

The spelling of 1028741476 in words is "one billion, twenty-eight million, seven hundred forty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 58 79 98 116 158 196 203 316 406 553 812 841 1106 1421 1682 2212 2291 2842 3364 3871 4582 5684 5887 6241 7742 9164 11774 12482 15484 16037 23548 24964 32074 41209 43687 64148 66439 82418 87374 112259 132878 164836 174748 180989 224518 265756 305809 361978 449036 465073 611618 723956 930146 1223236 1266923 1860292 2533846 3255511 5067692 5248681 6511022 8868461 10497362 13022044 17736922 20994724 35473844 36740767 73481534 146963068 257185369 514370738 1028741476