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290918484 = 223217538969
BaseRepresentation
bin10001010101110…
…001000001010100
3202021102012010200
4101111301001110
51043433342414
644511220500
710131523563
oct2125610124
9667365120
10290918484
1113a2413aa
1281517730
134836b31c
142a8cbbda
151a818109
hex11571054

290918484 has 72 divisors (see below), whose sum is σ = 793414440. Its totient is φ = 89536512.

The previous prime is 290918479. The next prime is 290918503. The reversal of 290918484 is 484819092.

It can be written as a sum of positive squares in 4 ways, for example, as 111894084 + 179024400 = 10578^2 + 13380^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27952 + ... + 36920.

It is an arithmetic number, because the mean of its divisors is an integer number (11019645).

Almost surely, 2290918484 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 290918484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396707220).

290918484 is an abundant number, since it is smaller than the sum of its proper divisors (502495956).

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

290918484 is a wasteful number, since it uses less digits than its factorization.

290918484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 290918484 is about 17056.3326656113. The cubic root of 290918484 is about 662.6086563922.

The spelling of 290918484 in words is "two hundred ninety million, nine hundred eighteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 8969 10812 16218 17938 26907 32436 35876 53814 80721 107628 152473 161442 304946 322884 457419 475357 609892 914838 950714 1372257 1426071 1829676 1901428 2744514 2852142 4278213 5489028 5704284 8081069 8556426 16162138 17112852 24243207 32324276 48486414 72729621 96972828 145459242 290918484