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1028950972 = 227291817001
BaseRepresentation
bin111101010101001…
…000101110111100
32122201011010101021
4331111020232330
54101402412342
6250033553524
734332640030
oct7525105674
92581133337
101028950972
114888a8105
122487158a4
1313523583a
149a9261c0
15604ee567
hex3d548bbc

1028950972 has 48 divisors (see below), whose sum is σ = 2140931520. Its totient is φ = 423360000.

The previous prime is 1028950969. The next prime is 1028950991. The reversal of 1028950972 is 2790598201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143472 + ... + 150472.

It is an arithmetic number, because the mean of its divisors is an integer number (44602740).

Almost surely, 21028950972 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 1028950972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070465760).

1028950972 is an abundant number, since it is smaller than the sum of its proper divisors (1111980548).

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

1028950972 is a wasteful number, since it uses less digits than its factorization.

1028950972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 1028950972 is about 32077.2656565363. The cubic root of 1028950972 is about 1009.5586648082.

The spelling of 1028950972 in words is "one billion, twenty-eight million, nine hundred fifty thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 58 116 181 203 362 406 724 812 1267 2534 5068 5249 7001 10498 14002 20996 28004 36743 49007 73486 98014 146972 196028 203029 406058 812116 1267181 1421203 2534362 2842406 5068724 5684812 8870267 17740534 35481068 36748249 73496498 146992996 257237743 514475486 1028950972