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70432992 = 2532732331
BaseRepresentation
bin1000011001010…
…11100011100000
311220112100220100
410030223203200
5121012323432
610553342400
71513446000
oct414534340
9156470810
1070432992
1136837393
121b707a00
1311790936
1494d6000
1562b407c
hex432b8e0

70432992 has 288 divisors, whose sum is σ = 251596800. Its totient is φ = 18627840.

The previous prime is 70432937. The next prime is 70432997. The reversal of 70432992 is 29923407.

70432992 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70432997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272017 + ... + 2272047.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 270432992 is an apocalyptic number.

70432992 is a gapful number since it is divisible by the number (72) 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 70432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

70432992 is an abundant number, since it is smaller than the sum of its proper divisors (181163808).

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

70432992 is a wasteful number, since it uses less digits than its factorization.

70432992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 70432992 is about 8392.4365949348. The cubic root of 70432992 is about 412.9765379758.

The spelling of 70432992 in words is "seventy million, four hundred thirty-two thousand, nine hundred ninety-two".