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2071327248 = 243331154669
BaseRepresentation
bin111101101110101…
…1111001000010000
312100100120022211000
41323131133020100
513220224432443
6541311422000
7102220663644
oct17335371020
95310508730
102071327248
11973234901
12499824900
1327018c033
14159144c24
15c1ca18d3
hex7b75f210

2071327248 has 80 divisors (see below), whose sum is σ = 6137305600. Its totient is φ = 668165760.

The previous prime is 2071327231. The next prime is 2071327259. The reversal of 2071327248 is 8427231702.

2071327248 is a `hidden beast` number, since 20 + 71 + 327 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63943 + ... + 90726.

It is an arithmetic number, because the mean of its divisors is an integer number (76716320).

Almost surely, 22071327248 is an apocalyptic number.

It is an amenable number.

2071327248 is an abundant number, since it is smaller than the sum of its proper divisors (4065978352).

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

2071327248 is a wasteful number, since it uses less digits than its factorization.

2071327248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154717 (or 154705 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2071327248 is about 45511.8363505583. The cubic root of 2071327248 is about 1274.7242254771.

It can be divided in two parts, 20713 and 27248, that added together give a square (47961 = 2192).

The spelling of 2071327248 in words is "two billion, seventy-one million, three hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 154669 309338 464007 618676 928014 1237352 1392021 1856028 2474704 2784042 3712056 4176063 4794739 5568084 7424112 8352126 9589478 11136168 14384217 16704252 19178956 22272336 28768434 33408504 38357912 43152651 57536868 66817008 76715824 86305302 115073736 129457953 172610604 230147472 258915906 345221208 517831812 690442416 1035663624 2071327248