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1028973946 = 2711131972609
BaseRepresentation
bin111101010101001…
…110010101111010
32122201012021220011
4331111032111322
54101404131241
6250034252134
734333064020
oct7525162572
92581167804
101028973946
114889133a0
1224872704a
13135243130
149a930710
1560506281
hex3d54e57a

1028973946 has 64 divisors (see below), whose sum is σ = 2083656960. Its totient is φ = 368040960.

The previous prime is 1028973941. The next prime is 1028973989. The reversal of 1028973946 is 6493798201.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1028973946.

It is not an unprimeable number, because it can be changed into a prime (1028973941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393090 + ... + 395698.

It is an arithmetic number, because the mean of its divisors is an integer number (32557140).

Almost surely, 21028973946 is an apocalyptic number.

1028973946 is an abundant number, since it is smaller than the sum of its proper divisors (1054683014).

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

1028973946 is a wasteful number, since it uses less digits than its factorization.

1028973946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839.

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 1028973946 is about 32077.6237586265. The cubic root of 1028973946 is about 1009.5661784244.

The spelling of 1028973946 in words is "one billion, twenty-eight million, nine hundred seventy-three thousand, nine hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 197 286 394 1001 1379 2002 2167 2561 2609 2758 4334 5122 5218 15169 17927 18263 28171 28699 30338 33917 35854 36526 56342 57398 67834 197197 200893 237419 373087 394394 401786 474838 513973 746174 1027946 2611609 3597811 5223218 5653703 6681649 7195622 11307406 13363298 39575921 46771543 73498139 79151842 93543086 146996278 514486973 1028973946