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47261088 = 25327217197
BaseRepresentation
bin1011010001001…
…0010110100000
310021221010000200
42310102112200
544044323323
64404545200
71112466300
oct264222640
9107833020
1047261088
112474aa56
12139b2200
139a39854
1463c3600
154238443
hex2d125a0

47261088 has 216 divisors, whose sum is σ = 166378212. Its totient is φ = 12644352.

The previous prime is 47261087. The next prime is 47261111. The reversal of 47261088 is 88016274.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 9659664 = 6132^2 + 3108^2 .

It is a super-2 number, since 2×472610882 = 4467220877887488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47261087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239806 + ... + 240002.

Almost surely, 247261088 is an apocalyptic number.

47261088 is a gapful number since it is divisible by the number (48) 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 47261088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83189106).

47261088 is an abundant number, since it is smaller than the sum of its proper divisors (119117124).

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

47261088 is a wasteful number, since it uses less digits than its factorization.

47261088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 47261088 is about 6874.6700284450. The cubic root of 47261088 is about 361.5496164171.

The spelling of 47261088 in words is "forty-seven million, two hundred sixty-one thousand, eighty-eight".