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468628038 = 23352116657
BaseRepresentation
bin11011111011101…
…011001001000110
31012122210202211000
4123323223021012
51424432044123
6114300154130
714420162334
oct3373531106
91178722730
10468628038
1122058a1aa
12110b38946
137611c7c8
144634ab54
152b21cb43
hex1beeb246

468628038 has 32 divisors (see below), whose sum is σ = 1043457120. Its totient is φ = 155900160.

The previous prime is 468628037. The next prime is 468628133. The reversal of 468628038 is 830826864.

It is a happy number.

It is a super-2 number, since 2×4686280382 = 439224475999458888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468627984 and 468628002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468628031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19806 + ... + 36462.

It is an arithmetic number, because the mean of its divisors is an integer number (32608035).

Almost surely, 2468628038 is an apocalyptic number.

468628038 is an abundant number, since it is smaller than the sum of its proper divisors (574829082).

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

468628038 is a wasteful number, since it uses less digits than its factorization.

468628038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17189 (or 17183 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468628038 is about 21647.8183196367. The cubic root of 468628038 is about 776.7407492151.

The spelling of 468628038 in words is "four hundred sixty-eight million, six hundred twenty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 521 1042 1563 3126 4689 9378 14067 16657 28134 33314 49971 99942 149913 299826 449739 899478 8678297 17356594 26034891 52069782 78104673 156209346 234314019 468628038