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4429328112 = 2432113190203
BaseRepresentation
bin1000010000000001…
…00010111011110000
3102102200120011220100
410020000202323300
533032401444422
62011303512400
7214522445016
oct41000427360
912380504810
104429328112
111973270850
12a37458700
13557861211
143003908b6
151adccd7ac
hex108022ef0

4429328112 has 120 divisors (see below), whose sum is σ = 13959249408. Its totient is φ = 1298908800.

The previous prime is 4429328083. The next prime is 4429328119. The reversal of 4429328112 is 2118239244.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429328119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003 + ... + 94205.

Almost surely, 24429328112 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 4429328112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979624704).

4429328112 is an abundant number, since it is smaller than the sum of its proper divisors (9529921296).

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

4429328112 is a wasteful number, since it uses less digits than its factorization.

4429328112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90259 (or 90250 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4429328112 is about 66553.1976091307. The cubic root of 4429328112 is about 1642.2752615372.

The spelling of 4429328112 in words is "four billion, four hundred twenty-nine million, three hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 90203 180406 270609 360812 541218 721624 811827 992233 1082436 1443248 1623654 1984466 2164872 2796293 2976699 3247308 3968932 4329744 5592586 5953398 6494616 7937864 8388879 8930097 11185172 11906796 12989232 15875728 16777758 17860194 22370344 23813592 25166637 30759223 33555516 35720388 44740688 47627184 50333274 61518446 67111032 71440776 92277669 100666548 123036892 134222064 142881552 184555338 201333096 246073784 276833007 369110676 402666192 492147568 553666014 738221352 1107332028 1476442704 2214664056 4429328112