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1005401992 = 23723497349
BaseRepresentation
bin111011111011010…
…011011110001000
32121001211201020211
4323323103132020
54024340330432
6243433130504
733625530100
oct7373233610
92531751224
101005401992
11476583441
12240859a34
131303abc2a
1497756200
155d3ebd47
hex3bed3788

1005401992 has 48 divisors (see below), whose sum is σ = 2199487500. Its totient is φ = 429593472.

The previous prime is 1005401989. The next prime is 1005402007. The reversal of 1005401992 is 2991045001.

It can be written as a sum of positive squares in 2 ways, for example, as 958150116 + 47251876 = 30954^2 + 6874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133134 + ... + 140482.

Almost surely, 21005401992 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 1005401992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099743750).

1005401992 is an abundant number, since it is smaller than the sum of its proper divisors (1194085508).

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

1005401992 is a wasteful number, since it uses less digits than its factorization.

1005401992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 1005401992 is about 31708.0745552296. The cubic root of 1005401992 is about 1001.7974313050.

Adding to 1005401992 its reverse (2991045001), we get a palindrome (3996446993).

The spelling of 1005401992 in words is "one billion, five million, four hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 349 392 698 1396 2443 2792 4886 7349 9772 14698 17101 19544 29396 34202 51443 58792 68404 102886 136808 205772 360101 411544 720202 1440404 2564801 2880808 5129602 10259204 17953607 20518408 35907214 71814428 125675249 143628856 251350498 502700996 1005401992