Search a number
-
+
5283873054 = 2331753223487
BaseRepresentation
bin1001110101111000…
…11000000100011110
3111122020112120012000
410322330120010132
541310132414204
62232151423130
7244640115465
oct47274300436
914566476160
105283873054
112271677039
121035684aa6
13662901105
14381a779dc
1520dd2c039
hex13af1811e

5283873054 has 128 divisors (see below), whose sum is σ = 12750151680. Its totient is φ = 1615790592.

The previous prime is 5283873047. The next prime is 5283873061. The reversal of 5283873054 is 4503783825.

5283873054 is a `hidden beast` number, since 528 + 3 + 8 + 73 + 0 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (5283873047) and next prime (5283873061).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10849599 + ... + 10850085.

It is an arithmetic number, because the mean of its divisors is an integer number (99610560).

Almost surely, 25283873054 is an apocalyptic number.

5283873054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5283873054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375075840).

5283873054 is an abundant number, since it is smaller than the sum of its proper divisors (7466278626).

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

5283873054 is a wasteful number, since it uses less digits than its factorization.

5283873054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5283873054 is about 72690.2541885774. The cubic root of 5283873054 is about 1741.7432054376.

It can be divided in two parts, 528387 and 3054, that added together give a 12-th power (531441 = 312).

The spelling of 5283873054 in words is "five billion, two hundred eighty-three million, eight hundred seventy-three thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 223 306 318 446 459 477 487 669 901 918 954 974 1338 1431 1461 1802 2007 2703 2862 2922 3791 4014 4383 5406 6021 7582 8109 8279 8766 11373 11819 12042 13149 16218 16558 22746 23638 24327 24837 25811 26298 34119 35457 48654 49674 51622 68238 70914 74511 77433 102357 106371 108601 149022 154866 200923 204714 212742 217202 223533 232299 319113 325803 401846 438787 447066 464598 602769 638226 651606 696897 877574 977409 1205538 1316361 1393794 1808307 1846217 1954818 2632722 2932227 3616614 3692434 3949083 5424921 5538651 5755853 5864454 7898166 10849842 11077302 11511706 11847249 16615953 17267559 23694498 33231906 34535118 49847859 51802677 97849501 99695718 103605354 155408031 195699002 293548503 310816062 587097006 880645509 1761291018 2641936527 5283873054