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4268922840 = 23325713311419
BaseRepresentation
bin1111111001110010…
…1001011111011000
3102000111201202020100
43332130221133120
532220321012330
61543333455400
7210534150120
oct37634513730
912014652210
104268922840
1118a0771a06
129b17a1560
1353055b160
142c6d57c80
1519eb96060
hexfe7297d8

4268922840 has 384 divisors, whose sum is σ = 17171481600. Its totient is φ = 895656960.

The previous prime is 4268922821. The next prime is 4268922851. The reversal of 4268922840 is 482298624.

It is a super-3 number, since 3×42689228403 (a number of 30 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 10188151 + ... + 10188569.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 24268922840 is an apocalyptic number.

4268922840 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 4268922840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

4268922840 is an abundant number, since it is smaller than the sum of its proper divisors (12902558760).

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

4268922840 is a wasteful number, since it uses less digits than its factorization.

4268922840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

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

The square root of 4268922840 is about 65336.9944212312. The cubic root of 4268922840 is about 1622.2063672338.

The spelling of 4268922840 in words is "four billion, two hundred sixty-eight million, nine hundred twenty-two thousand, eight hundred forty".