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290869488 = 24337313151
BaseRepresentation
bin10001010101100…
…101000011110000
3202021022200221000
4101111211003300
51043430310423
644510202000
710131231000
oct2125450360
9667280830
10290869488
1113a208608
12814b3300
1348351c30
142a8b8000
151a808843
hex115650f0

290869488 has 320 divisors, whose sum is σ = 1055488000. Its totient is φ = 76204800.

The previous prime is 290869487. The next prime is 290869489. The reversal of 290869488 is 884968092.

It is an interprime number because it is at equal distance from previous prime (290869487) and next prime (290869489).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290869483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926213 + ... + 1926363.

It is an arithmetic number, because the mean of its divisors is an integer number (3298400).

Almost surely, 2290869488 is an apocalyptic number.

290869488 is a gapful number since it is divisible by the number (28) 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 290869488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527744000).

290869488 is an abundant number, since it is smaller than the sum of its proper divisors (764618512).

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

290869488 is a wasteful number, since it uses less digits than its factorization.

290869488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 290869488 is about 17054.8963057534. The cubic root of 290869488 is about 662.5714558265.

The spelling of 290869488 in words is "two hundred ninety million, eight hundred sixty-nine thousand, four hundred eighty-eight".