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643436248 = 237213314073
BaseRepresentation
bin100110010110100…
…000111011011000
31122211201221121011
4212112200323120
52304204424443
6143503023304
721642055300
oct4626407330
91584657534
10643436248
113002261a4
1215b59ab34
13a33c6510
1461652600
153b74cb9d
hex265a0ed8

643436248 has 96 divisors (see below), whose sum is σ = 1560504960. Its totient is φ = 246274560.

The previous prime is 643436243. The next prime is 643436303. The reversal of 643436248 is 842634346.

It is a self number, because there is not a number n which added to its sum of digits gives 643436248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643436243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155940 + ... + 160012.

It is an arithmetic number, because the mean of its divisors is an integer number (16255260).

Almost surely, 2643436248 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 643436248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780252480).

643436248 is an abundant number, since it is smaller than the sum of its proper divisors (917068712).

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

643436248 is a wasteful number, since it uses less digits than its factorization.

643436248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4126 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 643436248 is about 25366.0451785453. The cubic root of 643436248 is about 863.3134513723.

The spelling of 643436248 in words is "six hundred forty-three million, four hundred thirty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 4073 5096 5642 6076 8146 11284 12152 16292 19747 22568 28511 32584 39494 52949 57022 78988 105898 114044 126263 157976 199577 211796 228088 252526 370643 399154 423592 505052 741286 798308 883841 1010104 1482572 1596616 1641419 1767682 2594501 2965144 3282838 3535364 5189002 6186887 6565676 7070728 10378004 11489933 12373774 13131352 20756008 22979866 24747548 45959732 49495096 80429531 91919464 160859062 321718124 643436248