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4262323920 = 2435314189157
BaseRepresentation
bin1111111000001101…
…1110011011010000
3102000001022111012220
43332003132123100
532212123331140
61542540221040
7210424104231
oct37603363320
912001274186
104262323920
111897a75058
129ab53a780
1352c08a67a
142c611b088
1519e2e0bd0
hexfe0de6d0

4262323920 has 320 divisors, whose sum is σ = 14219089920. Its totient is φ = 1054310400.

The previous prime is 4262323883. The next prime is 4262323973. The reversal of 4262323920 is 293232624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27148482 + ... + 27148638.

It is an arithmetic number, because the mean of its divisors is an integer number (44434656).

Almost surely, 24262323920 is an apocalyptic number.

4262323920 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 4262323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109544960).

4262323920 is an abundant number, since it is smaller than the sum of its proper divisors (9956766000).

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

4262323920 is a wasteful number, since it uses less digits than its factorization.

4262323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 4262323920 is about 65286.4757817421. The cubic root of 4262323920 is about 1621.3700648822.

The spelling of 4262323920 in words is "four billion, two hundred sixty-two million, three hundred twenty-three thousand, nine hundred twenty".