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47006080 = 275112607
BaseRepresentation
bin1011001101010…
…0000110000000
310021110011012221
42303110012000
544013143310
64355300424
71110354652
oct263240600
9107404187
1047006080
1124596400
12138aa714
13997a764
1463586d2
1541d7ada
hex2cd4180

47006080 has 96 divisors (see below), whose sum is σ = 123721920. Its totient is φ = 17064960.

The previous prime is 47006059. The next prime is 47006083. The reversal of 47006080 is 8060074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47006083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77137 + ... + 77743.

It is an arithmetic number, because the mean of its divisors is an integer number (1288770).

Almost surely, 247006080 is an apocalyptic number.

47006080 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 47006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61860960).

47006080 is an abundant number, since it is smaller than the sum of its proper divisors (76715840).

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

47006080 is a wasteful number, since it uses less digits than its factorization.

47006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 47006080 is about 6856.0980156354. The cubic root of 47006080 is about 360.8981688057.

Subtracting from 47006080 its product of nonzero digits (1344), we obtain a square (47004736 = 68562).

The spelling of 47006080 in words is "forty-seven million, six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 607 640 704 880 968 1210 1214 1408 1760 1936 2420 2428 3035 3520 3872 4840 4856 6070 6677 7040 7744 9680 9712 12140 13354 15488 19360 19424 24280 26708 33385 38720 38848 48560 53416 66770 73447 77440 77696 97120 106832 133540 146894 194240 213664 267080 293788 367235 388480 427328 534160 587576 734470 854656 1068320 1175152 1468940 2136640 2350304 2937880 4273280 4700608 5875760 9401216 11751520 23503040 47006080