Search a number
-
+
2534405500 = 2253112163257
BaseRepresentation
bin1001011100001111…
…1111010101111100
320112121221010202101
42113003333111330
520142301434000
61055253034444
7116543043214
oct22703772574
96477833671
102534405500
111090673400
125a8925a24
133150b7733
141a0849244
15ec774e6a
hex970ff57c

2534405500 has 144 divisors (see below), whose sum is σ = 6145225632. Its totient is φ = 912384000.

The previous prime is 2534405477. The next prime is 2534405501. The reversal of 2534405500 is 55044352.

It is a super-2 number, since 2×25344055002 = 12846422476860500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534405501) 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, 9861372 + ... + 9861628.

It is an arithmetic number, because the mean of its divisors is an integer number (42675178).

Almost surely, 22534405500 is an apocalyptic number.

2534405500 is a gapful number since it is divisible by the number (20) 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 2534405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072612816).

2534405500 is an abundant number, since it is smaller than the sum of its proper divisors (3610820132).

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

2534405500 is a wasteful number, since it uses less digits than its factorization.

2534405500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 2534405500 is about 50342.8793375985. The cubic root of 2534405500 is about 1363.4065229461.

Adding to 2534405500 its reverse (55044352), we get a palindrome (2589449852).

The spelling of 2534405500 in words is "two billion, five hundred thirty-four million, four hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 163 220 242 250 257 275 326 484 500 514 550 605 652 815 1028 1100 1210 1285 1375 1630 1793 2420 2570 2750 2827 3025 3260 3586 4075 5140 5500 5654 6050 6425 7172 8150 8965 11308 12100 12850 14135 15125 16300 17930 19723 20375 25700 28270 30250 31097 32125 35860 39446 40750 41891 44825 56540 60500 62194 64250 70675 78892 81500 83782 89650 98615 124388 128500 141350 155485 167564 179300 197230 209455 224125 282700 310970 353375 394460 418910 448250 460801 493075 621940 706750 777425 837820 896500 921602 986150 1047275 1413500 1554850 1843204 1972300 2094550 2304005 2465375 3109700 3887125 4189100 4608010 4930750 5068811 5236375 7774250 9216020 9861500 10137622 10472750 11520025 15548500 20275244 20945500 23040050 25344055 46080100 50688110 57600125 101376220 115200250 126720275 230400500 253440550 506881100 633601375 1267202750 2534405500