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290775808 = 282953739
BaseRepresentation
bin10001010101001…
…110001100000000
3202021010221102101
4101111032030000
51043414311213
644504200144
710130360611
oct2125161400
9667127371
10290775808
1113a154194
1281469054
134831b3bb
142a891c08
151a7dabdd
hex1154e300

290775808 has 72 divisors (see below), whose sum is σ = 612586800. Its totient is φ = 137539584.

The previous prime is 290775799. The next prime is 290775811. The reversal of 290775808 is 808577092.

290775808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393103 + ... + 393841.

It is an arithmetic number, because the mean of its divisors is an integer number (8508150).

Almost surely, 2290775808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306293400).

290775808 is an abundant number, since it is smaller than the sum of its proper divisors (321810992).

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

290775808 is an equidigital number, since it uses as much as digits as its factorization.

290775808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The square root of 290775808 is about 17052.1496592072. The cubic root of 290775808 is about 662.5003169810.

The spelling of 290775808 in words is "two hundred ninety million, seven hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 424 464 739 848 928 1478 1537 1696 1856 2956 3074 3392 3712 5912 6148 6784 7424 11824 12296 13568 21431 23648 24592 39167 42862 47296 49184 78334 85724 94592 98368 156668 171448 189184 196736 313336 342896 393472 626672 685792 1135843 1253344 1371584 2271686 2506688 2743168 4543372 5013376 5486336 9086744 10026752 18173488 36346976 72693952 145387904 290775808