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290418048 = 27359337
BaseRepresentation
bin10001010011110…
…110110110000000
3202020110202200000
4101103312312000
51043321334143
644452400000
710124340564
oct2123666600
9666422600
10290418048
11139a2a418
1281316000
13482245cb
142a7db6a4
151a769bd3
hex114f6d80

290418048 has 96 divisors (see below), whose sum is σ = 866753160. Its totient is φ = 96795648.

The previous prime is 290418043. The next prime is 290418083. The reversal of 290418048 is 840814092.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290418043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26436 + ... + 35772.

Almost surely, 2290418048 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 290418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433376580).

290418048 is an abundant number, since it is smaller than the sum of its proper divisors (576335112).

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

290418048 is an frugal number, since it uses more digits than its factorization.

290418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 290418048 is about 17041.6562575355. The cubic root of 290418048 is about 662.2285000247.

The spelling of 290418048 in words is "two hundred ninety million, four hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 9337 10368 15552 18674 28011 31104 37348 56022 74696 84033 112044 149392 168066 224088 252099 298784 336132 448176 504198 597568 672264 756297 896352 1008396 1195136 1344528 1512594 1792704 2016792 2268891 2689056 3025188 3585408 4033584 4537782 5378112 6050376 8067168 9075564 10756224 12100752 16134336 18151128 24201504 32268672 36302256 48403008 72604512 96806016 145209024 290418048