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4023427688 = 2371928113457
BaseRepresentation
bin1110111111010000…
…1010001001101000
3101101101210022012022
43233310022021220
531214444141223
61503124004012
7201463366610
oct35764121150
911341708168
104023427688
111785135855
12943530608
134c1735057
142a24d1a40
15188351ac8
hexefd0a268

4023427688 has 64 divisors (see below), whose sum is σ = 9108374400. Its totient is φ = 1627637760.

The previous prime is 4023427687. The next prime is 4023427763. The reversal of 4023427688 is 8867243204.

It is a happy number.

4023427688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4023427687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292256 + ... + 305712.

It is an arithmetic number, because the mean of its divisors is an integer number (142318350).

Almost surely, 24023427688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023427688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554187200).

4023427688 is an abundant number, since it is smaller than the sum of its proper divisors (5084946712).

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

4023427688 is a wasteful number, since it uses less digits than its factorization.

4023427688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 4023427688 is about 63430.4949373722. The cubic root of 4023427688 is about 1590.4941159080.

The spelling of 4023427688 in words is "four billion, twenty-three million, four hundred twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 281 532 562 1064 1124 1967 2248 3934 5339 7868 10678 13457 15736 21356 26914 37373 42712 53828 74746 94199 107656 149492 188398 255683 298984 376796 511366 753592 1022732 1789781 2045464 3579562 3781417 7159124 7562834 14318248 15125668 26469919 30251336 52939838 71846923 105879676 143693846 211759352 287387692 502928461 574775384 1005856922 2011713844 4023427688