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2075701248 = 212331372
BaseRepresentation
bin111101110111000…
…1011000000000000
312100122210112211000
41323232023000000
513222334414443
6541545252000
7102303112065
oct17356130000
95318715730
102075701248
11975752085
1249b194000
13271060bba
14159962c6c
15c23678d3
hex7bb8b000

2075701248 has 156 divisors (see below), whose sum is σ = 6194689480. Its totient is φ = 686850048.

The previous prime is 2075701231. The next prime is 2075701291. The reversal of 2075701248 is 8421075702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15151036 + ... + 15151172.

Almost surely, 22075701248 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 2075701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097344740).

2075701248 is an abundant number, since it is smaller than the sum of its proper divisors (4118988232).

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

2075701248 is an frugal number, since it uses more digits than its factorization.

2075701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2075701248 is about 45559.8644422917. The cubic root of 2075701248 is about 1275.6208685497.

The spelling of 2075701248 in words is "two billion, seventy-five million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 256 274 288 384 411 432 512 548 576 768 822 864 1024 1096 1152 1233 1536 1644 1728 2048 2192 2304 2466 3072 3288 3456 3699 4096 4384 4608 4932 6144 6576 6912 7398 8768 9216 9864 12288 13152 13824 14796 17536 18432 18769 19728 26304 27648 29592 35072 36864 37538 39456 52608 55296 56307 59184 70144 75076 78912 105216 110592 112614 118368 140288 150152 157824 168921 210432 225228 236736 280576 300304 315648 337842 420864 450456 473472 506763 561152 600608 631296 675684 841728 900912 946944 1013526 1201216 1262592 1351368 1683456 1801824 1893888 2027052 2402432 2525184 2702736 3603648 3787776 4054104 4804864 5050368 5405472 7207296 7575552 8108208 9609728 10810944 14414592 15151104 16216416 19219456 21621888 28829184 32432832 38438912 43243776 57658368 64865664 76877824 86487552 115316736 129731328 172975104 230633472 259462656 345950208 518925312 691900416 1037850624 2075701248