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1004082948 = 2232114161843
BaseRepresentation
bin111011110110010…
…001011100000100
32120222100200212100
4323312101130010
54024021123243
6243344552100
733611364351
oct7366213404
92528320770
101004082948
11475862420
12240322630
1313003972b
14974d1628
155d23b0d3
hex3bd91704

1004082948 has 72 divisors (see below), whose sum is σ = 2836413216. Its totient is φ = 296841600.

The previous prime is 1004082943. The next prime is 1004082967. The reversal of 1004082948 is 8492804001.

1004082948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004082943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14686 + ... + 47157.

It is an arithmetic number, because the mean of its divisors is an integer number (39394628).

Almost surely, 21004082948 is an apocalyptic number.

1004082948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1004082948 is an abundant number, since it is smaller than the sum of its proper divisors (1832330268).

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

1004082948 is a wasteful number, since it uses less digits than its factorization.

1004082948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61905 (or 61900 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1004082948 is about 31687.2679163099. The cubic root of 1004082948 is about 1001.3591345830.

Adding to 1004082948 its reverse (8492804001), we get a palindrome (9496886949).

The spelling of 1004082948 in words is "one billion, four million, eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 61843 123686 185529 247372 371058 556587 680273 742116 1113174 1360546 2040819 2226348 2535563 2721092 4081638 5071126 6122457 7606689 8163276 10142252 12244914 15213378 22820067 24489828 27891193 30426756 45640134 55782386 83673579 91280268 111564772 167347158 251020737 334694316 502041474 1004082948