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996551424 = 28341117257
BaseRepresentation
bin111011011001100…
…010101100000000
32120110012001120000
4323121202230000
54020104121144
6242515320000
733460355511
oct7331425400
92513161500
10996551424
11471588920
122398b0000
1312b6005cb
14964d0a08
155c74e769
hex3b662b00

996551424 has 360 divisors, whose sum is σ = 3445717968. Its totient is φ = 283115520.

The previous prime is 996551419. The next prime is 996551431. The reversal of 996551424 is 424155699.

996551424 is a `hidden beast` number, since 9 + 96 + 551 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×9965514242 = 1986229481352855552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 996551424.

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 39 ways as a sum of consecutive naturals, for example, 3877504 + ... + 3877760.

Almost surely, 2996551424 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 996551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722858984).

996551424 is an abundant number, since it is smaller than the sum of its proper divisors (2449166544).

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

996551424 is a wasteful number, since it uses less digits than its factorization.

996551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 996551424 is about 31568.2027362978. The cubic root of 996551424 is about 998.8491507207.

The spelling of 996551424 in words is "nine hundred ninety-six million, five hundred fifty-one thousand, four hundred twenty-four".