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4232442500 = 2254111311839
BaseRepresentation
bin1111110001000101…
…1111001010000100
3101220222002100121122
43330101133022010
532132001130000
61535551533112
7206612111336
oct37421371204
911828070548
104232442500
111882115770
129a152a198
13525b27660
142c217d456
1519b88c085
hexfc45f284

4232442500 has 120 divisors (see below), whose sum is σ = 10874519040. Its totient is φ = 1420560000.

The previous prime is 4232442479. The next prime is 4232442509. The reversal of 4232442500 is 52442324.

It is a happy number.

4232442500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4232442500.

It is not an unprimeable number, because it can be changed into a prime (4232442509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 351581 + ... + 363419.

It is an arithmetic number, because the mean of its divisors is an integer number (90620992).

Almost surely, 24232442500 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 4232442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437259520).

4232442500 is an abundant number, since it is smaller than the sum of its proper divisors (6642076540).

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

4232442500 is a wasteful number, since it uses less digits than its factorization.

4232442500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4232442500 is about 65057.2248101623. The cubic root of 4232442500 is about 1617.5722539384.

Adding to 4232442500 its reverse (52442324), we get a palindrome (4284884824).

The spelling of 4232442500 in words is "four billion, two hundred thirty-two million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 125 130 143 220 250 260 275 286 325 500 550 572 625 650 715 1100 1250 1300 1375 1430 1625 2500 2750 2860 3250 3575 5500 6500 6875 7150 8125 11839 13750 14300 16250 17875 23678 27500 32500 35750 47356 59195 71500 89375 118390 130229 153907 178750 236780 260458 295975 307814 357500 520916 591950 615628 651145 769535 1183900 1302290 1479875 1539070 1692977 2604580 2959750 3078140 3255725 3385954 3847675 5919500 6511450 6771908 7399375 7695350 8464885 13022900 14798750 15390700 16278625 16929770 19238375 29597500 32557250 33859540 38476750 42324425 65114500 76953500 81393125 84648850 96191875 162786250 169297700 192383750 211622125 325572500 384767500 423244250 846488500 1058110625 2116221250 4232442500