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94747968 = 263472373
BaseRepresentation
bin1011010010110…
…11110101000000
320121021200210000
411221123311000
5143223413333
613222440000
72230226100
oct551336500
9217250700
1094747968
1149534607
1227893000
13168250b3
14c825200
1584b8713
hex5a5bd40

94747968 has 210 divisors, whose sum is σ = 327593706. Its totient is φ = 26998272.

The previous prime is 94747957. The next prime is 94747993. The reversal of 94747968 is 86974749.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 12446784 = 9072^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253830 + ... + 254202.

Almost surely, 294747968 is an apocalyptic number.

94747968 is a gapful number since it is divisible by the number (98) 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 94747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163796853).

94747968 is an abundant number, since it is smaller than the sum of its proper divisors (232845738).

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

94747968 is a wasteful number, since it uses less digits than its factorization.

94747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 385 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 94747968 is about 9733.8567895773. The cubic root of 94747968 is about 455.8863982939.

Subtracting from 94747968 its product of digits (3048192), we obtain a square (91699776 = 95762).

The spelling of 94747968 in words is "ninety-four million, seven hundred forty-seven thousand, nine hundred sixty-eight".