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4023440928 = 2532136179223
BaseRepresentation
bin1110111111010000…
…1101011000100000
3101101101210222100200
43233310031120200
531220000102203
61503124145200
7201463453323
oct35764153040
911341728320
104023440928
1117851447a1
12943538200
134c173b0a0
142a24d67ba
151883559a3
hexefd0d620

4023440928 has 288 divisors, whose sum is σ = 12739184640. Its totient is φ = 1196881920.

The previous prime is 4023440921. The next prime is 4023440929. The reversal of 4023440928 is 8290443204.

4023440928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40234409282 = 32376153802211002368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4023440892 and 4023440901.

It is not an unprimeable number, because it can be changed into a prime (4023440921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18042225 + ... + 18042447.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 24023440928 is an apocalyptic number.

4023440928 is a gapful number since it is divisible by the number (48) 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 4023440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369592320).

4023440928 is an abundant number, since it is smaller than the sum of its proper divisors (8715743712).

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

4023440928 is a wasteful number, since it uses less digits than its factorization.

4023440928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4023440928 is about 63430.5993034907. The cubic root of 4023440928 is about 1590.4958605332.

The spelling of 4023440928 in words is "four billion, twenty-three million, four hundred forty thousand, nine hundred twenty-eight".