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88476401 = 132411132
BaseRepresentation
bin1010100011000…
…00101011110001
320011111001210202
411101200223301
5140122221101
612440204545
72123015456
oct521405361
9204431722
1088476401
1145a406a2
1225769755
131543a600
14ba7182d
157b7a36b
hex5460af1

88476401 has 18 divisors (see below), whose sum is σ = 99018738. Its totient is φ = 78973440.

The previous prime is 88476379. The next prime is 88476431. The reversal of 88476401 is 10467488.

It can be written as a sum of positive squares in 9 ways, for example, as 86583025 + 1893376 = 9305^2 + 1376^2 .

It is not a de Polignac number, because 88476401 - 26 = 88476337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88476431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 782921 + ... + 783033.

It is an arithmetic number, because the mean of its divisors is an integer number (5501041).

Almost surely, 288476401 is an apocalyptic number.

It is an amenable number.

88476401 is a deficient number, since it is larger than the sum of its proper divisors (10542337).

88476401 is a wasteful number, since it uses less digits than its factorization.

88476401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 88476401 is about 9406.1895047889. The cubic root of 88476401 is about 445.5972303392.

The spelling of 88476401 in words is "eighty-eight million, four hundred seventy-six thousand, four hundred one".

Divisors: 1 13 41 113 169 533 1469 4633 6929 12769 19097 60229 165997 523529 782977 2157961 6805877 88476401