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1093928192 = 28719389
BaseRepresentation
bin100000100110100…
…0000010100000000
32211020102022100222
41001031000110000
54220021200232
6300314402212
736052144010
oct10115002400
92736368328
101093928192
11511548495
12266430368
131458360b6
14a53dbc40
1566086d12
hex41340500

1093928192 has 144 divisors (see below), whose sum is σ = 2663740800. Its totient is φ = 439160832.

The previous prime is 1093928183. The next prime is 1093928201. The reversal of 1093928192 is 2918293901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1093928183) and next prime (1093928201).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12291284 + ... + 12291372.

It is an arithmetic number, because the mean of its divisors is an integer number (18498200).

Almost surely, 21093928192 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 1093928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331870400).

1093928192 is an abundant number, since it is smaller than the sum of its proper divisors (1569812608).

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

1093928192 is an frugal number, since it uses more digits than its factorization.

1093928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 1093928192 is about 33074.5852884054. The cubic root of 1093928192 is about 1030.3772746811.

The spelling of 1093928192 in words is "one billion, ninety-three million, nine hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 89 112 128 133 152 178 224 256 266 304 356 361 448 532 608 623 712 722 896 1064 1216 1246 1424 1444 1691 1792 2128 2432 2492 2527 2848 2888 3382 4256 4864 4984 5054 5696 5776 6764 6859 8512 9968 10108 11392 11552 11837 13528 13718 17024 19936 20216 22784 23104 23674 27056 27436 32129 34048 39872 40432 46208 47348 48013 54112 54872 64258 79744 80864 92416 94696 96026 108224 109744 128516 159488 161728 189392 192052 216448 219488 224903 257032 323456 378784 384104 432896 438976 449806 514064 610451 646912 757568 768208 877952 899612 1028128 1220902 1515136 1536416 1755904 1799224 2056256 2441804 3030272 3072832 3598448 4112512 4273157 4883608 6145664 7196896 8225024 8546314 9767216 12291328 14393792 17092628 19534432 28787584 34185256 39068864 57575168 68370512 78137728 136741024 156275456 273482048 546964096 1093928192