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1000045956 = 2237136115013
BaseRepresentation
bin111011100110110…
…111110110000100
32120200202121011010
4323212313312010
54022002432311
6243122242220
733532151610
oct7346676604
92520677133
101000045956
11473555368
1223aab6370
1312c255090
1496b60340
155cbdeda6
hex3b9b7d84

1000045956 has 96 divisors (see below), whose sum is σ = 2919202048. Its totient is φ = 259407360.

The previous prime is 1000045909. The next prime is 1000045973. The reversal of 1000045956 is 6595400001.

It is a super-2 number, since 2×10000459562 = 2000183828223907872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59106 + ... + 74118.

Almost surely, 21000045956 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 1000045956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459601024).

1000045956 is an abundant number, since it is smaller than the sum of its proper divisors (1919156092).

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

1000045956 is a wasteful number, since it uses less digits than its factorization.

1000045956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15101 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1000045956 is about 31623.5032214965. The cubic root of 1000045956 is about 1000.0153184320.

Adding to 1000045956 its reverse (6595400001), we get a palindrome (7595445957).

It can be divided in two parts, 1000045 and 956, that added together give a palindrome (1001001).

The spelling of 1000045956 in words is "one billion, forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1586 1708 2379 2562 3172 4758 5124 5551 9516 11102 15013 16653 22204 30026 33306 45039 60052 66612 90078 105091 180156 195169 210182 315273 390338 420364 585507 630546 780676 915793 1171014 1261092 1366183 1831586 2342028 2732366 2747379 3663172 4098549 5464732 5494758 6410551 8197098 10989516 11905309 12821102 16394196 19231653 23810618 25642204 35715927 38463306 47621236 71431854 76926612 83337163 142863708 166674326 250011489 333348652 500022978 1000045956