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290284992 = 2633315419
BaseRepresentation
bin10001010011010…
…110010111000000
3202020020000011000
4101103112113000
51043303104432
644445452000
710123244634
oct2123262700
9666200130
10290284992
11139949458
1281271000
13481a8b8a
142a7a4dc4
151a74057c
hex114d65c0

290284992 has 112 divisors (see below), whose sum is σ = 881075200. Its totient is φ = 93623040.

The previous prime is 290284987. The next prime is 290284997. The reversal of 290284992 is 299482092.

It is an interprime number because it is at equal distance from previous prime (290284987) and next prime (290284997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290284997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50859 + ... + 56277.

Almost surely, 2290284992 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 290284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440537600).

290284992 is an abundant number, since it is smaller than the sum of its proper divisors (590790208).

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

290284992 is a wasteful number, since it uses less digits than its factorization.

290284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 290284992 is about 17037.7519643878. The cubic root of 290284992 is about 662.1273505085.

The spelling of 290284992 in words is "two hundred ninety million, two hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5419 5952 6696 8928 10838 13392 16257 17856 21676 26784 32514 43352 48771 53568 65028 86704 97542 130056 146313 167989 173408 195084 260112 292626 335978 346816 390168 503967 520224 585252 671956 780336 1007934 1040448 1170504 1343912 1511901 1560672 2015868 2341008 2687824 3023802 3121344 4031736 4535703 4682016 5375648 6047604 8063472 9071406 9364032 10751296 12095208 16126944 18142812 24190416 32253888 36285624 48380832 72571248 96761664 145142496 290284992