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290688528 = 243132232089
BaseRepresentation
bin10001010100111…
…000111000010000
3202020222111200210
4101110320320100
51043404013103
644502244120
710126545264
oct2124707020
9666874623
10290688528
1113a0a4659
1281426640
13482ba760
142a86c0a4
151a7bee03
hex11538e10

290688528 has 80 divisors (see below), whose sum is σ = 812725760. Its totient is φ = 88998912.

The previous prime is 290688499. The next prime is 290688529. The reversal of 290688528 is 825886092.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (290688529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138108 + ... + 140196.

It is an arithmetic number, because the mean of its divisors is an integer number (10159072).

Almost surely, 2290688528 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 290688528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406362880).

290688528 is an abundant number, since it is smaller than the sum of its proper divisors (522037232).

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

290688528 is a wasteful number, since it uses less digits than its factorization.

290688528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 290688528 is about 17049.5902590062. The cubic root of 290688528 is about 662.4340244256.

The spelling of 290688528 in words is "two hundred ninety million, six hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 223 312 446 624 669 892 1338 1784 2089 2676 2899 3568 4178 5352 5798 6267 8356 8697 10704 11596 12534 16712 17394 23192 25068 27157 33424 34788 46384 50136 54314 69576 81471 100272 108628 139152 162942 217256 325884 434512 465847 651768 931694 1303536 1397541 1863388 2795082 3726776 5590164 6056011 7453552 11180328 12112022 18168033 22360656 24224044 36336066 48448088 72672132 96896176 145344264 290688528