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3012042528 = 2532114012371
BaseRepresentation
bin1011001110001000…
…0001111100100000
321202220200121120200
42303202001330200
522132040330103
61214514305200
7134432640045
oct26342017440
97686617520
103012042528
111306246150
12700888200
1339003c9b1
1420805d1cc
151296720a3
hexb3881f20

3012042528 has 144 divisors (see below), whose sum is σ = 9371430432. Its totient is φ = 910080000.

The previous prime is 3012042437. The next prime is 3012042529. The reversal of 3012042528 is 8252402103.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3012042529) 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, 1269183 + ... + 1271553.

It is an arithmetic number, because the mean of its divisors is an integer number (65079378).

Almost surely, 23012042528 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 3012042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685715216).

3012042528 is an abundant number, since it is smaller than the sum of its proper divisors (6359387904).

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

3012042528 is a wasteful number, since it uses less digits than its factorization.

3012042528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3012042528 is about 54882.0783863002. The cubic root of 3012042528 is about 1444.1768083826.

The spelling of 3012042528 in words is "three billion, twelve million, forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 401 528 792 802 1056 1203 1584 1604 2371 2406 3168 3208 3609 4411 4742 4812 6416 7113 7218 8822 9484 9624 12832 13233 14226 14436 17644 18968 19248 21339 26081 26466 28452 28872 35288 37936 38496 39699 42678 52162 52932 56904 57744 70576 75872 78243 79398 85356 104324 105864 113808 115488 141152 156486 158796 170712 208648 211728 227616 234729 312972 317592 341424 417296 423456 469458 625944 635184 682848 834592 938916 950771 1251888 1270368 1877832 1901542 2503776 2852313 3755664 3803084 5704626 7511328 7606168 8556939 10458481 11409252 15212336 17113878 20916962 22818504 30424672 31375443 34227756 41833924 45637008 62750886 68455512 83667848 91274016 94126329 125501772 136911024 167335696 188252658 251003544 273822048 334671392 376505316 502007088 753010632 1004014176 1506021264 3012042528