Search a number
-
+
290383872 = 2113151313
BaseRepresentation
bin10001010011101…
…110100000000000
3202020102000210020
4101103232200000
51043314240442
644451533440
710124136132
oct2123564000
9666360706
10290383872
11139a06779
12812ba280
1348211b9c
142a7cd052
151a75e9ec
hex114ee800

290383872 has 96 divisors (see below), whose sum is σ = 781784640. Its totient is φ = 95846400.

The previous prime is 290383871. The next prime is 290383879. The reversal of 290383872 is 278383092.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290383871) 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, 927588 + ... + 927900.

It is an arithmetic number, because the mean of its divisors is an integer number (8143590).

Almost surely, 2290383872 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 290383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390892320).

290383872 is an abundant number, since it is smaller than the sum of its proper divisors (491400768).

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

290383872 is a wasteful number, since it uses less digits than its factorization.

290383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 290383872 is about 17040.6535085953. The cubic root of 290383872 is about 662.2025222900.

The spelling of 290383872 in words is "two hundred ninety million, three hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 313 384 453 512 604 626 768 906 939 1024 1208 1252 1536 1812 1878 2048 2416 2504 3072 3624 3756 4832 5008 6144 7248 7512 9664 10016 14496 15024 19328 20032 28992 30048 38656 40064 47263 57984 60096 77312 80128 94526 115968 120192 141789 154624 160256 189052 231936 240384 283578 309248 320512 378104 463872 480768 567156 641024 756208 927744 961536 1134312 1512416 1923072 2268624 3024832 4537248 6049664 9074496 12099328 18148992 24198656 36297984 48397312 72595968 96794624 145191936 290383872