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47440080 = 243457321
BaseRepresentation
bin1011010011111…
…0000011010000
310022021012120000
42310332003100
544121040310
64412450000
71114143162
oct264760320
9108235500
1047440080
1124862486
1213a79900
139aa016c
14642c932
1542714c0
hex2d3e0d0

47440080 has 100 divisors (see below), whose sum is σ = 164788932. Its totient is φ = 12648960.

The previous prime is 47440073. The next prime is 47440091. The reversal of 47440080 is 8004474.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 42458256 = 2232^2 + 6516^2 .

It is a super-2 number, since 2×474400802 = 4501122380812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820 + ... + 10140.

Almost surely, 247440080 is an apocalyptic number.

47440080 is a gapful number since it is divisible by the number (40) 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 47440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82394466).

47440080 is an abundant number, since it is smaller than the sum of its proper divisors (117348852).

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

47440080 is a wasteful number, since it uses less digits than its factorization.

47440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47440080 is about 6887.6759505656. The cubic root of 47440080 is about 362.0054739056.

The spelling of 47440080 in words is "forty-seven million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 7321 14642 21963 29284 36605 43926 58568 65889 73210 87852 109815 117136 131778 146420 175704 197667 219630 263556 292840 329445 351408 395334 439260 527112 585680 593001 658890 790668 878520 988335 1054224 1186002 1317780 1581336 1757040 1976670 2372004 2635560 2965005 3162672 3953340 4744008 5271120 5930010 7906680 9488016 11860020 15813360 23720040 47440080