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1028469024 = 25321132683
BaseRepresentation
bin111101010011010…
…011000100100000
32122200020122021100
4331103103010200
54101242002044
6250015354400
734325561652
oct7523230440
92580218240
101028469024
114885a9000
12248522a00
131350c736b
149a83c6d2
1560456869
hex3d4d3120

1028469024 has 144 divisors (see below), whose sum is σ = 3218158944. Its totient is φ = 311541120.

The previous prime is 1028469011. The next prime is 1028469037. The reversal of 1028469024 is 4209648201.

It is an interprime number because it is at equal distance from previous prime (1028469011) and next prime (1028469037).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1028469024.

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 23 ways as a sum of consecutive naturals, for example, 381987 + ... + 384669.

It is an arithmetic number, because the mean of its divisors is an integer number (22348326).

Almost surely, 21028469024 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 1028469024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609079472).

1028469024 is an abundant number, since it is smaller than the sum of its proper divisors (2189689920).

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

1028469024 is a wasteful number, since it uses less digits than its factorization.

1028469024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1028469024 is about 32069.7524779971. The cubic root of 1028469024 is about 1009.4010185653.

The spelling of 1028469024 in words is "one billion, twenty-eight million, four hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1331 1452 1584 1936 2178 2662 2683 2904 3168 3872 3993 4356 5324 5366 5808 7986 8049 8712 10648 10732 11616 11979 15972 16098 17424 21296 21464 23958 24147 29513 31944 32196 34848 42592 42928 47916 48294 59026 63888 64392 85856 88539 95832 96588 118052 127776 128784 177078 191664 193176 236104 257568 265617 324643 354156 383328 386352 472208 531234 649286 708312 772704 944416 973929 1062468 1298572 1416624 1947858 2124936 2597144 2833248 2921787 3571073 3895716 4249872 5194288 5843574 7142146 7791432 8499744 10388576 10713219 11687148 14284292 15582864 21426438 23374296 28568584 31165728 32139657 42852876 46748592 57137168 64279314 85705752 93497184 114274336 128558628 171411504 257117256 342823008 514234512 1028469024