Search a number
-
+
290249600 = 275290703
BaseRepresentation
bin10001010011001…
…101101110000000
3202020011012121012
4101103031232000
51043300441400
644445020052
710123036514
oct2123155600
9666135535
10290249600
11139924903
1281254628
1348195a34
142a796144
151a734d35
hex114cdb80

290249600 has 48 divisors (see below), whose sum is σ = 717015120. Its totient is φ = 116098560.

The previous prime is 290249599. The next prime is 290249629. The reversal of 290249600 is 6942092.

290249600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42152 + ... + 48551.

It is an arithmetic number, because the mean of its divisors is an integer number (14937815).

Almost surely, 2290249600 is an apocalyptic number.

290249600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290249600 is an abundant number, since it is smaller than the sum of its proper divisors (426765520).

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

290249600 is an equidigital number, since it uses as much as digits as its factorization.

290249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90727 (or 90710 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 290249600 is about 17036.7132980514. The cubic root of 290249600 is about 662.1004402142.

The spelling of 290249600 in words is "two hundred ninety million, two hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 90703 181406 362812 453515 725624 907030 1451248 1814060 2267575 2902496 3628120 4535150 5804992 7256240 9070300 11609984 14512480 18140600 29024960 36281200 58049920 72562400 145124800 290249600