Search a number
-
+
2928126500 = 225313450481
BaseRepresentation
bin1010111010000111…
…1010101000100100
321120001210020102122
42232201322220210
521444100022000
61202315525112
7132363443645
oct25641725044
97501706378
102928126500
11127293a862
12698759798
1337883b040
141dac576cc
151220e8085
hexae87aa24

2928126500 has 48 divisors (see below), whose sum is σ = 6886968816. Its totient is φ = 1081152000.

The previous prime is 2928126473. The next prime is 2928126569. The reversal of 2928126500 is 56218292.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2489810404 + 438316096 = 49898^2 + 20936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218741 + ... + 231740.

It is an arithmetic number, because the mean of its divisors is an integer number (143478517).

Almost surely, 22928126500 is an apocalyptic number.

2928126500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928126500 is an abundant number, since it is smaller than the sum of its proper divisors (3958842316).

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

2928126500 is a wasteful number, since it uses less digits than its factorization.

2928126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450513 (or 450501 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 2928126500 is about 54112.1659148846. The cubic root of 2928126500 is about 1430.6386213047.

The spelling of 2928126500 in words is "two billion, nine hundred twenty-eight million, one hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 450481 900962 1801924 2252405 4504810 5856253 9009620 11262025 11712506 22524050 23425012 29281265 45048100 56310125 58562530 112620250 117125060 146406325 225240500 292812650 585625300 732031625 1464063250 2928126500