Search a number
-
+
1052828928 = 283450773
BaseRepresentation
bin111110110000001…
…110010100000000
32201101002020210000
4332300032110000
54124011011203
6252245440000
735042620044
oct7660162400
92641066700
101052828928
114a0326a58
12254710000
1313a1760c8
149db80024
15626694a3
hex3ec0e500

1052828928 has 90 divisors (see below), whose sum is σ = 3139407194. Its totient is φ = 350936064.

The previous prime is 1052828911. The next prime is 1052828939. The reversal of 1052828928 is 8298282501.

1052828928 is a `hidden beast` number, since 10 + 528 + 28 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 985457664 + 67371264 = 31392^2 + 8208^2 .

It is a super-2 number, since 2×10528289282 = 2216897503267258368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4651 + ... + 46122.

Almost surely, 21052828928 is an apocalyptic number.

1052828928 is a gapful number since it is divisible by the number (18) 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 1052828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569703597).

1052828928 is an abundant number, since it is smaller than the sum of its proper divisors (2086578266).

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

1052828928 is an frugal number, since it uses more digits than its factorization.

1052828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50801 (or 50778 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1052828928 is about 32447.3254367752. The cubic root of 1052828928 is about 1017.3083357776.

The spelling of 1052828928 in words is "one billion, fifty-two million, eight hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 50773 101546 152319 203092 304638 406184 456957 609276 812368 913914 1218552 1370871 1624736 1827828 2437104 2741742 3249472 3655656 4112613 4874208 5483484 6498944 7311312 8225226 9748416 10966968 12997888 14622624 16450452 19496832 21933936 29245248 32900904 38993664 43867872 58490496 65801808 87735744 116980992 131603616 175471488 263207232 350942976 526414464 1052828928