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1001042432 = 2913223503
BaseRepresentation
bin111011101010101…
…011001000000000
32120202122020001122
4323222223020000
54022231324212
6243155451412
733543502025
oct7352531000
92522566048
101001042432
11474075aa5
1223b2b6b68
1312c513800
1496d3d54c
155cd3a272
hex3baab200

1001042432 has 120 divisors (see below), whose sum is σ = 2264480064. Its totient is φ = 441053184.

The previous prime is 1001042431. The next prime is 1001042509. The reversal of 1001042432 is 2342401001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001042432.

It is not an unprimeable number, because it can be changed into a prime (1001042431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1989893 + ... + 1990395.

Almost surely, 21001042432 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 1001042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132240032).

1001042432 is an abundant number, since it is smaller than the sum of its proper divisors (1263437632).

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

1001042432 is an equidigital number, since it uses as much as digits as its factorization.

1001042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1001042432 is about 31639.2546056319. The cubic root of 1001042432 is about 1000.3473566627.

Adding to 1001042432 its reverse (2342401001), we get a palindrome (3343443433).

The spelling of 1001042432 in words is "one billion, one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 503 512 598 676 736 832 1006 1196 1352 1472 1664 2012 2392 2704 2944 3328 3887 4024 4784 5408 5888 6539 6656 7774 8048 9568 10816 11569 11776 13078 15548 16096 19136 21632 23138 26156 31096 32192 38272 43264 46276 52312 62192 64384 76544 85007 86528 92552 104624 124384 128768 150397 153088 170014 185104 209248 248768 257536 300794 340028 370208 418496 497536 601588 680056 740416 836992 995072 1203176 1360112 1480832 1673984 1955161 1990144 2406352 2720224 2961664 3347968 3910322 4812704 5440448 5923328 7820644 9625408 10880896 15641288 19250816 21761792 31282576 38501632 43523584 62565152 77003264 125130304 250260608 500521216 1001042432