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464962968 = 233259910781
BaseRepresentation
bin11011101101101…
…100010110011000
31012101220120021200
4123231230112120
51423012303333
6114045434200
714344056111
oct3355542630
91171816250
10464962968
11219506618
1210b86b960
1375438522
1445a75208
152ac46c13
hex1bb6c598

464962968 has 48 divisors (see below), whose sum is σ = 1261494000. Its totient is φ = 154714560.

The previous prime is 464962961. The next prime is 464962973. The reversal of 464962968 is 869269464.

464962968 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 629 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 215632-1.

It is a super-2 number, since 2×4649629682 = 432381123222738048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464962961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37738 + ... + 48518.

It is an arithmetic number, because the mean of its divisors is an integer number (26281125).

Almost surely, 2464962968 is an apocalyptic number.

It is an amenable number.

464962968 is an abundant number, since it is smaller than the sum of its proper divisors (796531032).

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

464962968 is a wasteful number, since it uses less digits than its factorization.

464962968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11385 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 464962968 is about 21562.9999768121. Note that the first 4 decimals coincide. The cubic root of 464962968 is about 774.7105227588.

The spelling of 464962968 in words is "four hundred sixty-four million, nine hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 599 1198 1797 2396 3594 4792 5391 7188 10781 10782 14376 21562 21564 32343 43124 43128 64686 86248 97029 129372 194058 258744 388116 776232 6457819 12915638 19373457 25831276 38746914 51662552 58120371 77493828 116240742 154987656 232481484 464962968