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4271894640 = 24345131719157
BaseRepresentation
bin1111111010011111…
…1111000001110000
3102000201022201210000
43332213333001300
532222101112030
61543521310000
7210601335216
oct37647770160
912021281700
104271894640
1118a2411742
129b2795300
1353105ba10
142c74cccb6
151a0081860
hexfe9ff070

4271894640 has 800 divisors, whose sum is σ = 17921977920. Its totient is φ = 931627008.

The previous prime is 4271894639. The next prime is 4271894663. The reversal of 4271894640 is 464981724.

4271894640 is a `hidden beast` number, since 4 + 2 + 7 + 189 + 464 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27209442 + ... + 27209598.

Almost surely, 24271894640 is an apocalyptic number.

4271894640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4271894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960988960).

4271894640 is an abundant number, since it is smaller than the sum of its proper divisors (13650083280).

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

4271894640 is a wasteful number, since it uses less digits than its factorization.

4271894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4271894640 is about 65359.7325575924. The cubic root of 4271894640 is about 1622.5827115573.

The spelling of 4271894640 in words is "four billion, two hundred seventy-one million, eight hundred ninety-four thousand, six hundred forty".