Search a number
-
+
2902000928 = 258921072
BaseRepresentation
bin1010110011111001…
…0000010100100000
321111020121220212212
42230332100110200
521420403012203
61155543541252
7131625413051
oct25476202440
97436556785
102902000928
11125a116282
1268ba5a828
133732c1718
141d75b6728
1511eb871d8
hexacf90520

2902000928 has 54 divisors (see below), whose sum is σ = 5832737001. Its totient is φ = 1421288704.

The previous prime is 2902000889. The next prime is 2902000939. The reversal of 2902000928 is 8290002092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2594068624 + 307932304 = 50932^2 + 17548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=38092.

It is a super-2 number, since 2×29020009282 = 16843218772225722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2902000894 and 2902000903.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 27121451 + ... + 27121557.

Almost surely, 22902000928 is an apocalyptic number.

It is an amenable number.

2902000928 is an abundant number, since it is smaller than the sum of its proper divisors (2930736073).

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

2902000928 is an frugal number, since it uses more digits than its factorization.

2902000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2902000928 is about 53870.2230179159. The cubic root of 2902000928 is about 1426.3710498612.

Multiplying 2902000928 by its sum of digits (32), we get a square (92864029696 = 3047362).

2902000928 divided by its sum of digits (32) gives a square (90687529 = 95232).

The spelling of 2902000928 in words is "two billion, nine hundred two million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 89 107 178 214 356 428 712 856 1424 1712 2848 3424 7921 9523 11449 15842 19046 22898 31684 38092 45796 63368 76184 91592 126736 152368 183184 253472 304736 366368 847547 1018961 1695094 2037922 3390188 4075844 6780376 8151688 13560752 16303376 27121504 32606752 90687529 181375058 362750116 725500232 1451000464 2902000928