Search a number
-
+
1028537480 = 235413371861
BaseRepresentation
bin111101010011100…
…011110010001000
32122200101010011202
4331103203302020
54101301144410
6250021043332
734326265355
oct7523436210
92580333152
101028537480
11488645483
12248556548
1313511c579
149a85962c
156046bca5
hex3d4e3c88

1028537480 has 64 divisors (see below), whose sum is σ = 2378965680. Its totient is φ = 399974400.

The previous prime is 1028537473. The next prime is 1028537527. The reversal of 1028537480 is 847358201.

1028537480 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 8 ways, for example, as 4153444 + 1024384036 = 2038^2 + 32006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551750 + ... + 553610.

Almost surely, 21028537480 is an apocalyptic number.

1028537480 is a gapful number since it is divisible by the number (10) 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 1028537480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189482840).

1028537480 is an abundant number, since it is smaller than the sum of its proper divisors (1350428200).

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

1028537480 is a wasteful number, since it uses less digits than its factorization.

1028537480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1028537480 is about 32070.8197587776. The cubic root of 1028537480 is about 1009.4234136728.

The spelling of 1028537480 in words is "one billion, twenty-eight million, five hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 337 410 674 820 1348 1640 1685 1861 2696 3370 3722 6740 7444 9305 13480 13817 14888 18610 27634 37220 55268 69085 74440 76301 110536 138170 152602 276340 305204 381505 552680 610408 627157 763010 1254314 1526020 2508628 3052040 3135785 5017256 6271570 12543140 25086280 25713437 51426874 102853748 128567185 205707496 257134370 514268740 1028537480