Search a number
-
+
1950803328 = 27323220879
BaseRepresentation
bin111010001000110…
…1110010110000000
312000221210002002010
41310101232112000
512443401201303
6521324252520
766225361155
oct16421562600
95027702063
101950803328
119111a5461
124653a1140
132512107c6
1414713022c
15b63e5c03
hex7446e580

1950803328 has 64 divisors (see below), whose sum is σ = 5407142400. Its totient is φ = 621992448.

The previous prime is 1950803311. The next prime is 1950803341. The reversal of 1950803328 is 8233080591.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 101608 + ... + 119271.

It is an arithmetic number, because the mean of its divisors is an integer number (84486600).

Almost surely, 21950803328 is an apocalyptic number.

It is an amenable number.

1950803328 is an abundant number, since it is smaller than the sum of its proper divisors (3456339072).

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

1950803328 is a wasteful number, since it uses less digits than its factorization.

1950803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220919 (or 220907 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1950803328 is about 44167.8992934914. The cubic root of 1950803328 is about 1249.5045135939.

The spelling of 1950803328 in words is "one billion, nine hundred fifty million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 220879 441758 662637 883516 1325274 1767032 2650548 3534064 5080217 5301096 7068128 10160434 10602192 14136256 15240651 20320868 21204384 28272512 30481302 40641736 42408768 60962604 81283472 84817536 121925208 162566944 243850416 325133888 487700832 650267776 975401664 1950803328