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4606328832 = 216373347
BaseRepresentation
bin1000100101000111…
…10000000000000000
3102220000121202020120
410102203300000000
533413210010312
62041025340240
7222102102060
oct42243600000
912800552216
104606328832
111a54175036
12a86797680
13585424b81
14319aa73a0
151be5e328c
hex1128f0000

4606328832 has 136 divisors (see below), whose sum is σ = 14042422656. Its totient is φ = 1315700736.

The previous prime is 4606328791. The next prime is 4606328833. The reversal of 4606328832 is 2388236064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606328833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374583 + ... + 1377929.

Almost surely, 24606328832 is an apocalyptic number.

4606328832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4606328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021211328).

4606328832 is an abundant number, since it is smaller than the sum of its proper divisors (9436093824).

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

4606328832 is an frugal number, since it uses more digits than its factorization.

4606328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4606328832 is about 67869.9405628147. The cubic root of 4606328832 is about 1663.8658669000.

The spelling of 4606328832 in words is "four billion, six hundred six million, three hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3347 3584 4096 5376 6144 6694 7168 8192 10041 10752 12288 13388 14336 16384 20082 21504 23429 24576 26776 28672 32768 40164 43008 46858 49152 53552 57344 65536 70287 80328 86016 93716 98304 107104 114688 140574 160656 172032 187432 196608 214208 229376 281148 321312 344064 374864 428416 458752 562296 642624 688128 749728 856832 1124592 1285248 1376256 1499456 1713664 2249184 2570496 2998912 3427328 4498368 5140992 5997824 6854656 8996736 10281984 11995648 13709312 17993472 20563968 23991296 27418624 35986944 41127936 47982592 54837248 71973888 82255872 95965184 109674496 143947776 164511744 191930368 219348992 287895552 329023488 383860736 575791104 658046976 767721472 1151582208 1535442944 2303164416 4606328832