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2287396752 = 243314732707
BaseRepresentation
bin1000100001010110…
…1110011110010000
312220102010210110020
42020111232132100
514141033144002
61014550503440
7110453360124
oct21025563620
95812123406
102287396752
11a741a3043
1253a064b80
132a5b81704
14179b0b584
15d5c322bc
hex8856e790

2287396752 has 80 divisors (see below), whose sum is σ = 6229696512. Its totient is φ = 722148480.

The previous prime is 2287396717. The next prime is 2287396777. The reversal of 2287396752 is 2576937822.

It is a junction number, because it is equal to n+sod(n) for n = 2287396695 and 2287396704.

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, 53583 + ... + 86289.

Almost surely, 22287396752 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 2287396752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114848256).

2287396752 is an abundant number, since it is smaller than the sum of its proper divisors (3942299760).

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

2287396752 is a wasteful number, since it uses less digits than its factorization.

2287396752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32796 (or 32790 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 2287396752 is about 47826.7367902097. The cubic root of 2287396752 is about 1317.5906370655.

The spelling of 2287396752 in words is "two billion, two hundred eighty-seven million, three hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 2256 2914 4371 5828 8742 11656 17484 23312 32707 34968 65414 69936 98121 130828 196242 261656 392484 523312 784968 1013917 1537229 1569936 2027834 3041751 3074458 4055668 4611687 6083502 6148916 8111336 9223374 12167004 12297832 16222672 18446748 24334008 24595664 36893496 47654099 48668016 73786992 95308198 142962297 190616396 285924594 381232792 571849188 762465584 1143698376 2287396752