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3148528080 = 243589223661
BaseRepresentation
bin1011101110101010…
…1011100111010000
322010102111210120010
42323222223213100
522422010344310
61240231514520
7141011022105
oct27352534720
98112453503
103148528080
111376297825
1273a528a40
133b23b9489
1421c22aaac
15136632320
hexbbaab9d0

3148528080 has 160 divisors (see below), whose sum is σ = 9929364480. Its totient is φ = 825200640.

The previous prime is 3148528067. The next prime is 3148528127. The reversal of 3148528080 is 808258413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4762950 + ... + 4763610.

It is an arithmetic number, because the mean of its divisors is an integer number (62058528).

Almost surely, 23148528080 is an apocalyptic number.

3148528080 is a gapful number since it is divisible by the number (30) 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 3148528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964682240).

3148528080 is an abundant number, since it is smaller than the sum of its proper divisors (6780836400).

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

3148528080 is a wasteful number, since it uses less digits than its factorization.

3148528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 3148528080 is about 56111.7463638408. The cubic root of 3148528080 is about 1465.6688470174.

The spelling of 3148528080 in words is "three billion, one hundred forty-eight million, five hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 223 240 267 356 445 446 534 661 669 712 890 892 1068 1115 1322 1335 1338 1424 1780 1784 1983 2136 2230 2644 2670 2676 3305 3345 3560 3568 3966 4272 4460 5288 5340 5352 6610 6690 7120 7932 8920 9915 10576 10680 10704 13220 13380 15864 17840 19830 19847 21360 26440 26760 31728 39660 39694 52880 53520 58829 59541 79320 79388 99235 117658 119082 147403 158640 158776 176487 198470 235316 238164 294145 294806 297705 317552 352974 396940 442209 470632 476328 588290 589612 595410 705948 737015 793880 882435 884418 941264 952656 1176580 1179224 1190820 1411896 1474030 1587760 1764870 1768836 2211045 2353160 2358448 2381640 2823792 2948060 3529740 3537672 4422090 4706320 4763280 5896120 7059480 7075344 8844180 11792240 13118867 14118960 17688360 26237734 35376720 39356601 52475468 65594335 78713202 104950936 131188670 157426404 196783005 209901872 262377340 314852808 393566010 524754680 629705616 787132020 1049509360 1574264040 3148528080