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4429019724 = 22317316710453
BaseRepresentation
bin1000001111111110…
…10111101001001100
3102102122222111212120
410013333113221030
533032312112344
62011253132540
7214520021643
oct40777275114
912378874776
104429019724
111973080088
12a3732a150
13557783a3c
1430031035a
151adc6c219
hex107fd7a4c

4429019724 has 96 divisors (see below), whose sum is σ = 11464943616. Its totient is φ = 1324477440.

The previous prime is 4429019713. The next prime is 4429019759. The reversal of 4429019724 is 4279109244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418482 + ... + 428934.

It is an arithmetic number, because the mean of its divisors is an integer number (119426496).

Almost surely, 24429019724 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 4429019724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732471808).

4429019724 is an abundant number, since it is smaller than the sum of its proper divisors (7035923892).

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

4429019724 is a wasteful number, since it uses less digits than its factorization.

4429019724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4429019724 is about 66550.8807154346. The cubic root of 4429019724 is about 1642.2371466715.

The spelling of 4429019724 in words is "four billion, four hundred twenty-nine million, nineteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 67 68 93 102 124 134 186 201 204 268 372 402 527 804 1054 1139 1581 2077 2108 2278 3162 3417 4154 4556 6231 6324 6834 8308 10453 12462 13668 20906 24924 31359 35309 41812 62718 70618 105927 125436 141236 177701 211854 324043 355402 423708 533103 648086 700351 710804 972129 1066206 1296172 1400702 1944258 2101053 2132412 2801404 3888516 4202106 5508731 8404212 11017462 11905967 16526193 21710881 22034924 23811934 33052386 35717901 43421762 47623868 65132643 66104772 71435802 86843524 130265286 142871604 260530572 369084977 738169954 1107254931 1476339908 2214509862 4429019724