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2428857184 = 251321729911
BaseRepresentation
bin1001000011000101…
…0110101101100000
320021021022201200111
42100301112231200
514433241412214
61041002501104
7114121642165
oct22061265540
96237281614
102428857184
111037032396
12579504794
132c9280700
1419081206c
15e33765c4
hex90c56b60

2428857184 has 144 divisors (see below), whose sum is σ = 5677801920. Its totient is φ = 1017569280.

The previous prime is 2428857181. The next prime is 2428857187. The reversal of 2428857184 is 4817588242.

It is an interprime number because it is at equal distance from previous prime (2428857181) and next prime (2428857187).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428857181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2665689 + ... + 2666599.

It is an arithmetic number, because the mean of its divisors is an integer number (39429180).

Almost surely, 22428857184 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 2428857184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838900960).

2428857184 is an abundant number, since it is smaller than the sum of its proper divisors (3248944736).

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

2428857184 is a wasteful number, since it uses less digits than its factorization.

2428857184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 972 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 49.

The square root of 2428857184 is about 49283.4372177915. The cubic root of 2428857184 is about 1344.2106328513.

The spelling of 2428857184 in words is "two billion, four hundred twenty-eight million, eight hundred fifty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 68 104 116 136 169 208 221 232 272 338 377 416 442 464 493 544 676 754 884 911 928 986 1352 1508 1768 1822 1972 2704 2873 3016 3536 3644 3944 4901 5408 5746 6032 6409 7072 7288 7888 9802 11492 11843 12064 12818 14576 15487 15776 19604 22984 23686 25636 26419 29152 30974 39208 45968 47372 51272 52838 61948 78416 83317 91936 94744 102544 105676 123896 153959 156832 166634 189488 201331 205088 211352 247792 307918 333268 343447 378976 402662 422704 449123 495584 615836 666536 686894 805324 845408 898246 1231672 1333072 1373788 1610648 1796492 2463344 2617303 2666144 2747576 3221296 3592984 4464811 4926688 5234606 5495152 5838599 6442592 7185968 8929622 10469212 10990304 11677198 14371936 17859244 20938424 23354396 35718488 41876848 46708792 71436976 75901787 83753696 93417584 142873952 151803574 186835168 303607148 607214296 1214428592 2428857184