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290019528 = 23362232
BaseRepresentation
bin10001010010010…
…101100011001000
3202012201112000000
4101102111203020
51043221111103
644440043000
710121060661
oct2122254310
9665645000
10290019528
11139787a67
1281163460
13481150b6
142a736368
151a6dbaa3
hex114958c8

290019528 has 84 divisors (see below), whose sum is σ = 818979435. Its totient is φ = 96239664.

The previous prime is 290019497. The next prime is 290019529. The reversal of 290019528 is 825910092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 145009764 + 145009764 = 12042^2 + 12042^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12042.

It is a super-2 number, since 2×2900195282 = 168222653242685568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 290019492 and 290019501.

It is not an unprimeable number, because it can be changed into a prime (290019529) 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 20 ways as a sum of consecutive naturals, for example, 1300425 + ... + 1300647.

Almost surely, 2290019528 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 290019528

290019528 is an abundant number, since it is smaller than the sum of its proper divisors (528959907).

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

290019528 is an frugal number, since it uses more digits than its factorization.

290019528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 290019528 is about 17029.9597180968. The cubic root of 290019528 is about 661.9254516991.

The spelling of 290019528 in words is "two hundred ninety million, nineteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 243 324 446 486 648 669 729 892 972 1338 1458 1784 1944 2007 2676 2916 4014 5352 5832 6021 8028 12042 16056 18063 24084 36126 48168 49729 54189 72252 99458 108378 144504 149187 162567 198916 216756 298374 325134 397832 433512 447561 596748 650268 895122 1193496 1300536 1342683 1790244 2685366 3580488 4028049 5370732 8056098 10741464 12084147 16112196 24168294 32224392 36252441 48336588 72504882 96673176 145009764 290019528