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994133952 = 26337259199
BaseRepresentation
bin111011010000010…
…100011111000000
32120021122020102000
4323100110133000
54013444241302
6242351424000
733430666500
oct7320243700
92507566360
10994133952
11470187609
12238b25000
1312ac65156
1496061a00
155c42331c
hex3b4147c0

994133952 has 336 divisors, whose sum is σ = 3474720000. Its totient is φ = 277820928.

The previous prime is 994133923. The next prime is 994133953. The reversal of 994133952 is 259331499.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (262440) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 994133898 and 994133907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994133953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4995549 + ... + 4995747.

Almost surely, 2994133952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360000).

994133952 is an abundant number, since it is smaller than the sum of its proper divisors (2480586048).

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

994133952 is a wasteful number, since it uses less digits than its factorization.

994133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 994133952 is about 31529.8898190273. The cubic root of 994133952 is about 998.0408147666.

The spelling of 994133952 in words is "nine hundred ninety-four million, one hundred thirty-three thousand, nine hundred fifty-two".