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47330080 = 255726037
BaseRepresentation
bin1011010010001…
…1001100100000
310022001121122221
42310203030200
544104030310
64410240424
71113204400
oct264431440
9108047587
1047330080
1124797876
1213a26114
139a62085
146400800
15424dada
hex2d23320

47330080 has 72 divisors (see below), whose sum is σ = 130094748. Its totient is φ = 16224768.

The previous prime is 47330053. The next prime is 47330123. The reversal of 47330080 is 8003374.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 2547216 = 6692^2 + 1596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4822 + ... + 10858.

Almost surely, 247330080 is an apocalyptic number.

47330080 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 47330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65047374).

47330080 is an abundant number, since it is smaller than the sum of its proper divisors (82764668).

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

47330080 is a wasteful number, since it uses less digits than its factorization.

47330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 47330080 is about 6879.6860393480. The cubic root of 47330080 is about 361.7254615941.

The spelling of 47330080 in words is "forty-seven million, three hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 6037 7840 12074 24148 30185 42259 48296 60370 84518 96592 120740 169036 193184 211295 241480 295813 338072 422590 482960 591626 676144 845180 965920 1183252 1352288 1479065 1690360 2366504 2958130 3380720 4733008 5916260 6761440 9466016 11832520 23665040 47330080