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2042500 = 22541943
BaseRepresentation
bin111110010101010000100
310211202210011
413302222010
51010330000
6111440004
723234545
oct7625204
93752704
102042500
111175619
12826004
135668a5
143b24cc
152a52ba
hex1f2a84

2042500 has 60 divisors (see below), whose sum is σ = 4810960. Its totient is φ = 756000.

The previous prime is 2042489. The next prime is 2042531. The reversal of 2042500 is 52402.

It is a happy number.

2042500 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47479 + ... + 47521.

22042500 is an apocalyptic number.

2042500 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 2042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405480).

2042500 is an abundant number, since it is smaller than the sum of its proper divisors (2768460).

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

2042500 is a wasteful number, since it uses less digits than its factorization.

2042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2042500 is about 1429.1605927956. The cubic root of 2042500 is about 126.8783011752.

Adding to 2042500 its reverse (52402), we get a palindrome (2094902).

It can be divided in two parts, 204 and 2500, that added together give a square (2704 = 522).

The spelling of 2042500 in words is "two million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 125 172 190 215 250 380 430 475 500 625 817 860 950 1075 1250 1634 1900 2150 2375 2500 3268 4085 4300 4750 5375 8170 9500 10750 11875 16340 20425 21500 23750 26875 40850 47500 53750 81700 102125 107500 204250 408500 510625 1021250 2042500