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1081563392 = 28713172731
BaseRepresentation
bin100000001110111…
…0101100100000000
32210101011010001102
41000131311210000
54203340012032
6255153353532
735542065020
oct10035654400
92711133042
101081563392
11505572648
122622688a8
131430c7050
14a38dda80
1564e43362
hex40775900

1081563392 has 144 divisors (see below), whose sum is σ = 2814440832. Its totient is φ = 402554880.

The previous prime is 1081563337. The next prime is 1081563403. The reversal of 1081563392 is 2933651801.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394667 + ... + 397397.

It is an arithmetic number, because the mean of its divisors is an integer number (19544728).

Almost surely, 21081563392 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 1081563392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407220416).

1081563392 is an abundant number, since it is smaller than the sum of its proper divisors (1732877440).

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

1081563392 is a wasteful number, since it uses less digits than its factorization.

1081563392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1081563392 is about 32887.1311001735. The cubic root of 1081563392 is about 1026.4803964835.

The spelling of 1081563392 in words is "one billion, eighty-one million, five hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1792 1904 2176 2731 2912 3094 3328 3536 3808 4352 5462 5824 6188 7072 7616 10924 11648 12376 14144 15232 19117 21848 23296 24752 28288 30464 35503 38234 43696 46427 49504 56576 71006 76468 87392 92854 99008 142012 152936 174784 185708 198016 248521 284024 305872 324989 349568 371416 396032 497042 568048 603551 611744 649978 699136 742832 994084 1136096 1207102 1223488 1299956 1485664 1988168 2272192 2414204 2446976 2599912 2971328 3976336 4224857 4544384 4828408 4893952 5199824 5942656 7952672 8449714 9088768 9656816 10399648 11885312 15905344 16899428 19313632 20799296 31810688 33798856 38627264 41598592 63621376 67597712 77254528 83197184 135195424 154509056 270390848 540781696 1081563392