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47960000 = 265411109
BaseRepresentation
bin1011011011110…
…0111111000000
310100020121202022
42312330333000
544234210000
64431541012
71121440034
oct266747700
9110217668
1047960000
1125088070
121408a768
139c229ca
1465261c4
154325585
hex2dbcfc0

47960000 has 140 divisors (see below), whose sum is σ = 130926840. Its totient is φ = 17280000.

The previous prime is 47959981. The next prime is 47960023. The reversal of 47960000 is 6974.

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, 439946 + ... + 440054.

Almost surely, 247960000 is an apocalyptic number.

47960000 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 47960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463420).

47960000 is an abundant number, since it is smaller than the sum of its proper divisors (82966840).

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

47960000 is a wasteful number, since it uses less digits than its factorization.

47960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 47960000 is about 6925.3158772723. The cubic root of 47960000 is about 363.3231393674.

Adding to 47960000 its reverse (6974), we get a palindrome (47966974).

The spelling of 47960000 in words is "forty-seven million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 109 110 125 160 176 200 218 220 250 275 320 352 400 436 440 500 545 550 625 704 800 872 880 1000 1090 1100 1199 1250 1375 1600 1744 1760 2000 2180 2200 2398 2500 2725 2750 3488 3520 4000 4360 4400 4796 5000 5450 5500 5995 6875 6976 8000 8720 8800 9592 10000 10900 11000 11990 13625 13750 17440 17600 19184 20000 21800 22000 23980 27250 27500 29975 34880 38368 40000 43600 44000 47960 54500 55000 59950 68125 76736 87200 88000 95920 109000 110000 119900 136250 149875 174400 191840 218000 220000 239800 272500 299750 383680 436000 440000 479600 545000 599500 749375 872000 959200 1090000 1199000 1498750 1918400 2180000 2398000 2997500 4360000 4796000 5995000 9592000 11990000 23980000 47960000