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1028497152 = 2834433023
BaseRepresentation
bin111101010011011…
…001111100000000
32122200022001212010
4331103121330000
54101243402102
6250020132520
734326036654
oct7523317400
92580261763
101028497152
11488618151
12248537140
131351070c7
149a848a64
156045ed6c
hex3d4d9f00

1028497152 has 72 divisors (see below), whose sum is σ = 2744388864. Its totient is φ = 341945344.

The previous prime is 1028497139. The next prime is 1028497163. The reversal of 1028497152 is 2517948201.

1028497152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10284971522 = 2115612783344222208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1028497152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338713 + ... + 341735.

It is an arithmetic number, because the mean of its divisors is an integer number (38116512).

Almost surely, 21028497152 is an apocalyptic number.

1028497152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372194432).

1028497152 is an abundant number, since it is smaller than the sum of its proper divisors (1715891712).

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

1028497152 is an equidigital number, since it uses as much as digits as its factorization.

1028497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1028497152 is about 32070.1910190756. The cubic root of 1028497152 is about 1009.4102206486.

The spelling of 1028497152 in words is "one billion, twenty-eight million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 443 768 886 1329 1772 2658 3023 3544 5316 6046 7088 9069 10632 12092 14176 18138 21264 24184 28352 36276 42528 48368 56704 72552 85056 96736 113408 145104 170112 193472 290208 340224 386944 580416 773888 1160832 1339189 2321664 2678378 4017567 5356756 8035134 10713512 16070268 21427024 32140536 42854048 64281072 85708096 128562144 171416192 257124288 342832384 514248576 1028497152