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288504020 = 22572239241
BaseRepresentation
bin10001001100100…
…011100011010100
3202002212112010002
4101030203203110
51042324112040
644343350432
710102146410
oct2114434324
9662775102
10288504020
11138942382
1280752418
1347a0434c
142a45dd40
151a4dca15
hex113238d4

288504020 has 48 divisors (see below), whose sum is σ = 695589888. Its totient is φ = 98461440.

The previous prime is 288503987. The next prime is 288504079. The reversal of 288504020 is 20405882.

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, 26600 + ... + 35840.

It is an arithmetic number, because the mean of its divisors is an integer number (14491456).

Almost surely, 2288504020 is an apocalyptic number.

288504020 is a gapful number since it is divisible by the number (20) 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 288504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347794944).

288504020 is an abundant number, since it is smaller than the sum of its proper divisors (407085868).

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

288504020 is a wasteful number, since it uses less digits than its factorization.

288504020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 288504020 is about 16985.4060887575. The cubic root of 288504020 is about 660.7704653972.

The spelling of 288504020 in words is "two hundred eighty-eight million, five hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 9241 15610 18482 31220 36964 46205 64687 92410 129374 184820 258748 323435 646870 1293740 2060743 4121486 8242972 10303715 14425201 20607430 28850402 41214860 57700804 72126005 144252010 288504020