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1082627328 = 2834789337
BaseRepresentation
bin100000010000111…
…1001010100000000
32210110011011111110
41000201321110000
54204123033303
6255232243320
735554115616
oct10041712400
92713134443
101082627328
11506129a32
122626a0540
131433aa3b3
14a3ad96b6
15650a3703
hex40879500

1082627328 has 144 divisors (see below), whose sum is σ = 2984567040. Its totient is φ = 348192768.

The previous prime is 1082627327. The next prime is 1082627341. The reversal of 1082627328 is 8237262801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082627321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3212376 + ... + 3212712.

It is an arithmetic number, because the mean of its divisors is an integer number (20726160).

Almost surely, 21082627328 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 1082627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492283520).

1082627328 is an abundant number, since it is smaller than the sum of its proper divisors (1901939712).

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

1082627328 is an equidigital number, since it uses as much as digits as its factorization.

1082627328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1082627328 is about 32903.3026913713. The cubic root of 1082627328 is about 1026.8168697614.

The spelling of 1082627328 in words is "one billion, eighty-two million, six hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 89 94 96 128 141 178 188 192 256 267 282 337 356 376 384 534 564 674 712 752 768 1011 1068 1128 1348 1424 1504 2022 2136 2256 2696 2848 3008 4044 4183 4272 4512 5392 5696 6016 8088 8366 8544 9024 10784 11392 12032 12549 15839 16176 16732 17088 18048 21568 22784 25098 29993 31678 32352 33464 34176 36096 43136 47517 50196 59986 63356 64704 66928 68352 86272 89979 95034 100392 119972 126712 129408 133856 179958 190068 200784 239944 253424 258816 267712 359916 380136 401568 479888 506848 535424 719832 760272 803136 959776 1013696 1070848 1409671 1439664 1520544 1606272 1919552 2027392 2819342 2879328 3041088 3212544 3839104 4054784 4229013 5638684 5758656 6082176 7678208 8458026 11277368 11517312 12164352 16916052 22554736 23034624 33832104 45109472 67664208 90218944 135328416 180437888 270656832 360875776 541313664 1082627328