Search a number
-
+
290052752 = 24111938539
BaseRepresentation
bin10001010010011…
…101101010010000
3202012210012120112
4101102131222100
51043223142002
644440500452
710121256563
oct2122355220
9665705515
10290052752
111397aaa20
128117a728
1348127262
142a7444da
151a6e6852
hex1149da90

290052752 has 40 divisors (see below), whose sum is σ = 616314720. Its totient is φ = 131143680.

The previous prime is 290052739. The next prime is 290052757. The reversal of 290052752 is 257250092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290052757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29699 + ... + 38237.

It is an arithmetic number, because the mean of its divisors is an integer number (15407868).

Almost surely, 2290052752 is an apocalyptic number.

290052752 is a gapful number since it is divisible by the number (22) 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 290052752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308157360).

290052752 is an abundant number, since it is smaller than the sum of its proper divisors (326261968).

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

290052752 is a wasteful number, since it uses less digits than its factorization.

290052752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 290052752 is about 17030.9351475484. The cubic root of 290052752 is about 661.9507269759.

The spelling of 290052752 in words is "two hundred ninety million, fifty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 8539 16984 17078 33968 34156 68312 93929 136624 187858 375716 751432 1502864 1648027 3296054 6592108 13184216 18128297 26368432 36256594 72513188 145026376 290052752