Search a number
-
+
1052203992 = 233741173883
BaseRepresentation
bin111110101101110…
…101101111011000
32201022220111112020
4332231311233120
54123331011432
6252224214440
735034405060
oct7655655730
92638814466
101052203992
1149aa3a484
1225446a420
13139cb7818
149da5a3a0
156259422c
hex3eb75bd8

1052203992 has 128 divisors (see below), whose sum is σ = 3100930560. Its totient is φ = 291271680.

The previous prime is 1052203981. The next prime is 1052204011. The reversal of 1052203992 is 2993022501.

It is a super-2 number, since 2×10522039922 = 2214266481561472128, which contains 22 as substring.

It is a congruent number.

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, 1191183 + ... + 1192065.

It is an arithmetic number, because the mean of its divisors is an integer number (24226020).

Almost surely, 21052203992 is an apocalyptic number.

1052203992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052203992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550465280).

1052203992 is an abundant number, since it is smaller than the sum of its proper divisors (2048726568).

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

1052203992 is a wasteful number, since it uses less digits than its factorization.

1052203992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1052203992 is about 32437.6939994199. The cubic root of 1052203992 is about 1017.1070120182.

The spelling of 1052203992 in words is "one billion, fifty-two million, two hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 173 246 287 328 346 492 519 574 692 861 883 984 1038 1148 1211 1384 1722 1766 2076 2296 2422 2649 3444 3532 3633 4152 4844 5298 6181 6888 7064 7093 7266 9688 10596 12362 14186 14532 18543 21192 21279 24724 28372 29064 36203 37086 42558 49448 49651 56744 72406 74172 85116 99302 108609 144812 148344 148953 152759 170232 198604 217218 253421 289624 297906 305518 397208 434436 458277 506842 595812 611036 760263 868872 916554 1013684 1069313 1191624 1222072 1520526 1833108 2027368 2138626 3041052 3207939 3666216 4277252 6082104 6263119 6415878 8554504 12526238 12831756 18789357 25052476 25663512 37578714 43841833 50104952 75157428 87683666 131525499 150314856 175367332 263050998 350734664 526101996 1052203992