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1024031424 = 26313834943
BaseRepresentation
bin111101000010010…
…111101011000000
32122100220012000210
4331002113223000
54044123001144
6245340314120
734243060233
oct7502275300
92570805023
101024031424
11486047a69
12246b42940
13134202570
149a00541a
155ed7bab9
hex3d097ac0

1024031424 has 112 divisors (see below), whose sum is σ = 2953585152. Its totient is φ = 311227392.

The previous prime is 1024031423. The next prime is 1024031501. The reversal of 1024031424 is 4241304201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024031424.

It is not an unprimeable number, because it can be changed into a prime (1024031423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204697 + ... + 209639.

It is an arithmetic number, because the mean of its divisors is an integer number (26371296).

Almost surely, 21024031424 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 1024031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476792576).

1024031424 is an abundant number, since it is smaller than the sum of its proper divisors (1929553728).

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

1024031424 is a wasteful number, since it uses less digits than its factorization.

1024031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024031424 is about 32000.4909962332. The cubic root of 1024031424 is about 1007.9471501644.

Adding to 1024031424 its reverse (4241304201), we get a palindrome (5265335625).

The spelling of 1024031424 in words is "one billion, twenty-four million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 664 832 996 1079 1248 1328 1992 2158 2496 2656 3237 3984 4316 4943 5312 6474 7968 8632 9886 12948 14829 15936 17264 19772 25896 29658 34528 39544 51792 59316 64259 69056 79088 103584 118632 128518 158176 192777 207168 237264 257036 316352 385554 410269 474528 514072 771108 820538 949056 1028144 1230807 1542216 1641076 2056288 2461614 3084432 3282152 4112576 4923228 5333497 6168864 6564304 9846456 10666994 12337728 13128608 16000491 19692912 21333988 26257216 32000982 39385824 42667976 64001964 78771648 85335952 128003928 170671904 256007856 341343808 512015712 1024031424