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290875416 = 233131496257
BaseRepresentation
bin10001010101100…
…110100000011000
3202021100000001120
4101111212200120
51043431003131
644510245240
710131254166
oct2125464030
9667300046
10290875416
1113a212007
12814b6820
1348354840
142a8ba236
151a80a496
hex11566818

290875416 has 64 divisors (see below), whose sum is σ = 788508000. Its totient is φ = 88885248.

The previous prime is 290875397. The next prime is 290875421. The reversal of 290875416 is 614578092.

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 15 ways as a sum of consecutive naturals, for example, 43360 + ... + 49616.

Almost surely, 2290875416 is an apocalyptic number.

290875416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290875416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394254000).

290875416 is an abundant number, since it is smaller than the sum of its proper divisors (497632584).

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

290875416 is a wasteful number, since it uses less digits than its factorization.

290875416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 290875416 is about 17055.0700966018. The cubic root of 290875416 is about 662.5759569253.

The spelling of 290875416 in words is "two hundred ninety million, eight hundred seventy-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 447 596 894 1192 1788 1937 3576 3874 5811 6257 7748 11622 12514 15496 18771 23244 25028 37542 46488 50056 75084 81341 150168 162682 244023 325364 488046 650728 932293 976092 1864586 1952184 2796879 3729172 5593758 7458344 11187516 12119809 22375032 24239618 36359427 48479236 72718854 96958472 145437708 290875416