Search a number
-
+
275996028 = 223721171601
BaseRepresentation
bin10000011100110…
…101110101111100
3201020100001101010
4100130311311330
51031123333103
643215315220
76560633100
oct2034656574
9636301333
10275996028
111318799a0
127851bb10
1345245079
1428925900
151936b903
hex10735d7c

275996028 has 144 divisors (see below), whose sum is σ = 830124288. Its totient is φ = 70560000.

The previous prime is 275996009. The next prime is 275996029. The reversal of 275996028 is 820699572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275996029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458928 + ... + 459528.

It is an arithmetic number, because the mean of its divisors is an integer number (5764752).

Almost surely, 2275996028 is an apocalyptic number.

275996028 is a gapful number since it is divisible by the number (28) 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 275996028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415062144).

275996028 is an abundant number, since it is smaller than the sum of its proper divisors (554128260).

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

275996028 is a wasteful number, since it uses less digits than its factorization.

275996028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 275996028 is about 16613.1281822539. The cubic root of 275996028 is about 651.0798838264.

The spelling of 275996028 in words is "two hundred seventy-five million, nine hundred ninety-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 71 77 84 98 132 142 147 154 196 213 231 284 294 308 426 462 497 539 588 601 781 852 924 994 1078 1202 1491 1562 1617 1803 1988 2156 2343 2404 2982 3124 3234 3479 3606 4207 4686 5467 5964 6468 6611 6958 7212 8414 9372 10437 10934 12621 13222 13916 16401 16828 19833 20874 21868 25242 26444 29449 32802 38269 39666 41748 42671 46277 50484 58898 65604 76538 79332 85342 88347 92554 114807 117796 128013 138831 153076 170684 176694 185108 229614 256026 277662 298697 323939 353388 459228 469381 512052 555324 597394 647878 896091 938762 971817 1194788 1295756 1408143 1792182 1877524 1943634 2090879 2816286 3285667 3584364 3887268 4181758 5632572 6272637 6571334 8363516 9857001 12545274 13142668 19714002 22999669 25090548 39428004 45999338 68999007 91998676 137998014 275996028