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1000049232 = 243721332707
BaseRepresentation
bin111011100110111…
…000101001010000
32120200202202122110
4323212320221100
54022003033412
6243122305320
733532164300
oct7346705120
92520682573
101000049232
11473557876
1223aab8240
1312c256710
1496b61600
155cbe0d3c
hex3b9b8a50

1000049232 has 120 divisors (see below), whose sum is σ = 3236522016. Its totient is φ = 263741184.

The previous prime is 1000049231. The next prime is 1000049251. The reversal of 1000049232 is 2329400001.

1000049232 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 1000049199 and 1000049208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000049231) 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, 14223 + ... + 46929.

Almost surely, 21000049232 is an apocalyptic number.

1000049232 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 1000049232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618261008).

1000049232 is an abundant number, since it is smaller than the sum of its proper divisors (2236472784).

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

1000049232 is a wasteful number, since it uses less digits than its factorization.

1000049232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32745 (or 32732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1000049232 is about 31623.5550183720. Note that the first 3 decimals coincide. The cubic root of 1000049232 is about 1000.0164103974.

Adding to 1000049232 its reverse (2329400001), we get a palindrome (3329449233).

The spelling of 1000049232 in words is "one billion, forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 32707 65414 98121 130828 196242 228949 261656 392484 425191 457898 523312 686847 784968 850382 915796 1275573 1373694 1569936 1602643 1700764 1831592 2551146 2747388 2976337 3205286 3401528 3663184 4807929 5102292 5494776 5952674 6410572 6803056 8929011 9615858 10204584 10989552 11905348 12821144 17858022 19231716 20409168 20834359 23810696 25642288 35716044 38463432 41668718 47621392 62503077 71432088 76926864 83337436 125006154 142864176 166674872 250012308 333349744 500024616 1000049232