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993072468 = 223194355581
BaseRepresentation
bin111011001100010…
…001010101010100
32120012122022022210
4323030101111110
54013211304333
6242312553420
733415656003
oct7314212524
92505568283
10993072468
1146a622053
122386b2870
1312a982c5b
1495c66c3a
155c2b3a63
hex3b311554

993072468 has 24 divisors (see below), whose sum is σ = 2439125920. Its totient is φ = 313601760.

The previous prime is 993072463. The next prime is 993072473. The reversal of 993072468 is 864270399.

It is an interprime number because it is at equal distance from previous prime (993072463) and next prime (993072473).

It is a super-2 number, since 2×9930724682 = 1972385853399222048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993072463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2177563 + ... + 2178018.

Almost surely, 2993072468 is an apocalyptic number.

It is an amenable number.

993072468 is an abundant number, since it is smaller than the sum of its proper divisors (1446053452).

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

993072468 is a wasteful number, since it uses less digits than its factorization.

993072468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355607 (or 4355605 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 993072468 is about 31513.0523434338. The cubic root of 993072468 is about 997.6854697494.

The spelling of 993072468 in words is "nine hundred ninety-three million, seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 4355581 8711162 13066743 17422324 26133486 52266972 82756039 165512078 248268117 331024156 496536234 993072468