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94465440 = 2534537197
BaseRepresentation
bin1011010000101…
…10110110100000
320120202100020000
411220112312200
5143140343230
613212420000
72224641306
oct550266640
9216670200
1094465440
1149361313
1227777600
1316756614
14c790276
15845eb60
hex5a16da0

94465440 has 240 divisors, whose sum is σ = 344132712. Its totient is φ = 24385536.

The previous prime is 94465421. The next prime is 94465457. The reversal of 94465440 is 4456449.

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 685584 = 9684^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 94465395 and 94465404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479422 + ... + 479618.

Almost surely, 294465440 is an apocalyptic number.

94465440 is a gapful number since it is divisible by the number (90) 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 94465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172066356).

94465440 is an abundant number, since it is smaller than the sum of its proper divisors (249667272).

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

94465440 is a wasteful number, since it uses less digits than its factorization.

94465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 94465440 is about 9719.3333104694. Note that the first 4 decimals coincide. The cubic root of 94465440 is about 455.4328128127.

The spelling of 94465440 in words is "ninety-four million, four hundred sixty-five thousand, four hundred forty".