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290433972 = 223231377681
BaseRepresentation
bin10001010011111…
…010101110110100
3202020111120111210
4101103322232310
51043322341342
644453001420
710124435163
oct2123725664
9666446453
10290433972
11139a40384
1281323270
134822b92a
142a8033da
151a76e79c
hex114fabb4

290433972 has 48 divisors (see below), whose sum is σ = 712397952. Its totient is φ = 91914240.

The previous prime is 290433959. The next prime is 290433991. The reversal of 290433972 is 279334092.

It is a self number, because there is not a number n which added to its sum of digits gives 290433972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33972 + ... + 41652.

It is an arithmetic number, because the mean of its divisors is an integer number (14841624).

Almost surely, 2290433972 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 290433972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356198976).

290433972 is an abundant number, since it is smaller than the sum of its proper divisors (421963980).

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

290433972 is a wasteful number, since it uses less digits than its factorization.

290433972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 290433972 is about 17042.1234592406. The cubic root of 290433972 is about 662.2406034207.

The spelling of 290433972 in words is "two hundred ninety million, four hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 822 1644 3151 6302 7681 9453 12604 15362 18906 23043 30724 37812 46086 92172 176663 353326 529989 706652 1052297 1059978 2104594 2119956 3156891 4209188 6313782 12627564 24202831 48405662 72608493 96811324 145216986 290433972