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1082428032 = 2737257527
BaseRepresentation
bin100000010000100…
…1000101010000000
32210102210001010010
41000201020222000
54204100144112
6255224104520
735552325600
oct10041105200
92712701103
101082428032
11506003224
12262605140
1314333a77a
14a3a86c00
156506463c
hex40848a80

1082428032 has 96 divisors (see below), whose sum is σ = 3344677920. Its totient is φ = 309259776.

The previous prime is 1082428031. The next prime is 1082428033. The reversal of 1082428032 is 2308242801.

It is an interprime number because it is at equal distance from previous prime (1082428031) and next prime (1082428033).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1082428031) 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 11 ways as a sum of consecutive naturals, for example, 9948 + ... + 47579.

It is an arithmetic number, because the mean of its divisors is an integer number (34840395).

Almost surely, 21082428032 is an apocalyptic number.

1082428032 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 1082428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672338960).

1082428032 is an abundant number, since it is smaller than the sum of its proper divisors (2262249888).

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

1082428032 is an equidigital number, since it uses as much as digits as its factorization.

1082428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57558 (or 57539 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1082428032 is about 32900.2740414119. The cubic root of 1082428032 is about 1026.7538585269.

The spelling of 1082428032 in words is "one billion, eighty-two million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 57527 115054 172581 230108 345162 402689 460216 690324 805378 920432 1208067 1380648 1610756 1840864 2416134 2761296 2818823 3221512 3681728 4832268 5522592 5637646 6443024 7363456 8456469 9664536 11045184 11275292 12886048 16912938 19329072 22090368 22550584 25772096 33825876 38658144 45101168 51544192 67651752 77316288 90202336 135303504 154632576 180404672 270607008 360809344 541214016 1082428032