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1084948992 = 293426161
BaseRepresentation
bin100000010101011…
…0000001000000000
32210121112010020000
41000222300020000
54210221331432
6255354120000
735612625411
oct10052601000
92717463200
101084948992
11507475266
12263420000
13143a1106a
14a4141808
15653b157c
hex40ab0200

1084948992 has 100 divisors (see below), whose sum is σ = 3238410846. Its totient is φ = 361635840.

The previous prime is 1084948981. The next prime is 1084948999. The reversal of 1084948992 is 2998494801.

It can be written as a sum of positive squares in only one way, i.e., 1012766976 + 72182016 = 31824^2 + 8496^2 .

It is a super-2 number, since 2×10849489922 = 2354228630483632128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1084948999) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 28392 + ... + 54552.

Almost surely, 21084948992 is an apocalyptic number.

1084948992 is a gapful number since it is divisible by the number (12) 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 1084948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619205423).

1084948992 is an abundant number, since it is smaller than the sum of its proper divisors (2153461854).

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

1084948992 is an frugal number, since it uses more digits than its factorization.

1084948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26191 (or 26166 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1084948992 is about 32938.5639031212. The cubic root of 1084948992 is about 1027.5503390544.

The spelling of 1084948992 in words is "one billion, eighty-four million, nine hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 26161 41472 52322 78483 104644 156966 209288 235449 313932 418576 470898 627864 706347 837152 941796 1255728 1412694 1674304 1883592 2119041 2511456 2825388 3348608 3767184 4238082 5022912 5650776 6697216 7534368 8476164 10045824 11301552 13394432 15068736 16952328 20091648 22603104 30137472 33904656 40183296 45206208 60274944 67809312 90412416 120549888 135618624 180824832 271237248 361649664 542474496 1084948992