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2428469328 = 243534991913
BaseRepresentation
bin1001000010111111…
…1000000001010000
320021020121000122110
42100233320001100
514433142004303
61040550305320
7114115435335
oct22057700120
96236530573
102428469328
111036897a4a
12579358240
132c9175ccc
1419075098c
15e32eb703
hex90bf8050

2428469328 has 80 divisors (see below), whose sum is σ = 6408072000. Its totient is φ = 792210432.

The previous prime is 2428469321. The next prime is 2428469339. The reversal of 2428469328 is 8239648242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428469321) 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, 1268500 + ... + 1270412.

It is an arithmetic number, because the mean of its divisors is an integer number (80100900).

Almost surely, 22428469328 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 2428469328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204036000).

2428469328 is an abundant number, since it is smaller than the sum of its proper divisors (3979602672).

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

2428469328 is a wasteful number, since it uses less digits than its factorization.

2428469328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2470 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2428469328 is about 49279.5021078744. The cubic root of 2428469328 is about 1344.1390782238.

The spelling of 2428469328 in words is "two billion, four hundred twenty-eight million, four hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 499 636 848 998 1272 1497 1913 1996 2544 2994 3826 3992 5739 5988 7652 7984 11478 11976 15304 22956 23952 26447 30608 45912 52894 79341 91824 101389 105788 158682 202778 211576 304167 317364 405556 423152 608334 634728 811112 954587 1216668 1269456 1622224 1909174 2433336 2863761 3818348 4866672 5727522 7636696 11455044 15273392 22910088 45820176 50593111 101186222 151779333 202372444 303558666 404744888 607117332 809489776 1214234664 2428469328