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4329523488 = 253314093557
BaseRepresentation
bin1000000100000111…
…10100100100100000
3102011201202120200210
410002003310210200
532331324222423
61553340414120
7212201225313
oct40203644440
912151676623
104329523488
1119219a3094
12a09b47340
1353cc88624
142d101097a
151a5166b93
hex1020f4920

4329523488 has 96 divisors (see below), whose sum is σ = 11763601920. Its totient is φ = 1392814080.

The previous prime is 4329523447. The next prime is 4329523507. The reversal of 4329523488 is 8843259234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×43295234882 = 37489547266287372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1215406 + ... + 1218962.

It is an arithmetic number, because the mean of its divisors is an integer number (122537520).

Almost surely, 24329523488 is an apocalyptic number.

4329523488 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 4329523488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881800960).

4329523488 is an abundant number, since it is smaller than the sum of its proper divisors (7434078432).

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

4329523488 is a wasteful number, since it uses less digits than its factorization.

4329523488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4002 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 4329523488 is about 65799.1146444996. The cubic root of 4329523488 is about 1629.8464843440.

The spelling of 4329523488 in words is "four billion, three hundred twenty-nine million, five hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 409 496 744 818 992 1227 1488 1636 2454 2976 3272 3557 4908 6544 7114 9816 10671 12679 13088 14228 19632 21342 25358 28456 38037 39264 42684 50716 56912 76074 85368 101432 110267 113824 152148 170736 202864 220534 304296 330801 341472 405728 441068 608592 661602 882136 1217184 1323204 1454813 1764272 2646408 2909626 3528544 4364439 5292816 5819252 8728878 10585632 11638504 17457756 23277008 34915512 45099203 46554016 69831024 90198406 135297609 139662048 180396812 270595218 360793624 541190436 721587248 1082380872 1443174496 2164761744 4329523488