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993944420 = 225721014229
BaseRepresentation
bin111011001111100…
…110001101100100
32120021021121102022
4323033212031210
54013422210140
6242343402312
733426250100
oct7317461544
92507247368
10993944420
11470068177
12238a53398
1312abc9ac1
1496012900
155c3d70b5
hex3b3e6364

993944420 has 36 divisors (see below), whose sum is σ = 2428066620. Its totient is φ = 340780608.

The previous prime is 993944387. The next prime is 993944437. The reversal of 993944420 is 24449399.

It can be written as a sum of positive squares in 2 ways, for example, as 678810916 + 315133504 = 26054^2 + 17752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506135 + ... + 508094.

It is an arithmetic number, because the mean of its divisors is an integer number (67446295).

Almost surely, 2993944420 is an apocalyptic number.

It is an amenable number.

993944420 is an abundant number, since it is smaller than the sum of its proper divisors (1434122200).

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

993944420 is a wasteful number, since it uses less digits than its factorization.

993944420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014252 (or 1014243 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 993944420 is about 31526.8840832709. The cubic root of 993944420 is about 997.9773851205.

The spelling of 993944420 in words is "nine hundred ninety-three million, nine hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1014229 2028458 4056916 5071145 7099603 10142290 14199206 20284580 28398412 35498015 49697221 70996030 99394442 141992060 198788884 248486105 496972210 993944420