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4023427616 = 25133151379
BaseRepresentation
bin1110111111010000…
…1010001000100000
3101101101210022002122
43233310022020200
531214444140431
61503124003412
7201463366445
oct35764121040
911341708078
104023427616
11178513579a
12943530568
134c1735000
142a24d19cc
15188351a7b
hexefd0a220

4023427616 has 96 divisors (see below), whose sum is σ = 8660534400. Its totient is φ = 1839801600.

The previous prime is 4023427601. The next prime is 4023427643. The reversal of 4023427616 is 6167243204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10615715 + ... + 10616093.

It is an arithmetic number, because the mean of its divisors is an integer number (90213900).

Almost surely, 24023427616 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 4023427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330267200).

4023427616 is an abundant number, since it is smaller than the sum of its proper divisors (4637106784).

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

4023427616 is a wasteful number, since it uses less digits than its factorization.

4023427616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 4023427616 is about 63430.4943698218. The cubic root of 4023427616 is about 1590.4941064206.

The spelling of 4023427616 in words is "four billion, twenty-three million, four hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 169 208 302 338 379 416 604 676 758 1208 1352 1516 1963 2197 2416 2704 3032 3926 4394 4832 4927 5408 6064 7852 8788 9854 12128 15704 17576 19708 25519 31408 35152 39416 51038 57229 62816 64051 70304 78832 102076 114458 128102 157664 204152 228916 256204 331747 408304 457832 512408 663494 743977 816608 832663 915664 1024816 1326988 1487954 1665326 1831328 2049632 2653976 2975908 3330652 5307952 5951816 6661304 9671701 10615904 11903632 13322608 19343402 23807264 26645216 38686804 77373608 125732113 154747216 251464226 309494432 502928452 1005856904 2011713808 4023427616