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4426148928 = 26343653821
BaseRepresentation
bin1000001111101000…
…11010110001000000
3102102110120122212210
410013310122301000
533031043231203
62011111422120
7214453434165
oct40764326100
912373518783
104426148928
11197149a223
12a36384940
13556cba146
142ddba406c
151ad8a1803
hex107d1ac40

4426148928 has 112 divisors (see below), whose sum is σ = 12016166976. Its totient is φ = 1437112320.

The previous prime is 4426148893. The next prime is 4426148941. The reversal of 4426148928 is 8298416244.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5390758 + ... + 5391578.

Almost surely, 24426148928 is an apocalyptic number.

4426148928 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 4426148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008083488).

4426148928 is an abundant number, since it is smaller than the sum of its proper divisors (7590018048).

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

4426148928 is a wasteful number, since it uses less digits than its factorization.

4426148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 4426148928 is about 66529.3087894351. The cubic root of 4426148928 is about 1641.8822489657.

The spelling of 4426148928 in words is "four billion, four hundred twenty-six million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 653 688 821 1032 1306 1376 1642 1959 2064 2463 2612 2752 3284 3918 4128 4926 5224 6568 7836 8256 9852 10448 13136 15672 19704 20896 26272 28079 31344 35303 39408 41792 52544 56158 62688 70606 78816 84237 105909 112316 125376 141212 157632 168474 211818 224632 282424 336948 423636 449264 536113 564848 673896 847272 898528 1072226 1129696 1347792 1608339 1694544 1797056 2144452 2259392 2695584 3216678 3389088 4288904 5391168 6433356 6778176 8577808 12866712 17155616 23052859 25733424 34311232 46105718 51466848 69158577 92211436 102933696 138317154 184422872 276634308 368845744 553268616 737691488 1106537232 1475382976 2213074464 4426148928