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47525040 = 24325149443
BaseRepresentation
bin1011010101001…
…0110010110000
310022102112002200
42311102302300
544131300130
64414343200
71114645653
oct265226260
9108375080
1047525040
11249102a2
1213abab00
139acca34
14645189a
15428b760
hex2d52cb0

47525040 has 120 divisors (see below), whose sum is σ = 161038800. Its totient is φ = 12559872.

The previous prime is 47525029. The next prime is 47525041. The reversal of 47525040 is 4052574.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 47524995 and 47525013.

It is not an unprimeable number, because it can be changed into a prime (47525041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107059 + ... + 107501.

It is an arithmetic number, because the mean of its divisors is an integer number (1341990).

Almost surely, 247525040 is an apocalyptic number.

47525040 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 47525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80519400).

47525040 is an abundant number, since it is smaller than the sum of its proper divisors (113513760).

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

47525040 is a wasteful number, since it uses less digits than its factorization.

47525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 47525040 is about 6893.8407292307. The cubic root of 47525040 is about 362.2214491113.

The spelling of 47525040 in words is "forty-seven million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 443 447 596 720 745 886 894 1192 1329 1341 1490 1772 1788 2215 2235 2384 2658 2682 2980 3544 3576 3987 4430 4470 5316 5364 5960 6645 6705 7088 7152 7974 8860 8940 10632 10728 11920 13290 13410 15948 17720 17880 19935 21264 21456 26580 26820 31896 35440 35760 39870 53160 53640 63792 66007 79740 106320 107280 132014 159480 198021 264028 318960 330035 396042 528056 594063 660070 792084 990105 1056112 1188126 1320140 1584168 1980210 2376252 2640280 2970315 3168336 3960420 4752504 5280560 5940630 7920840 9505008 11881260 15841680 23762520 47525040