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4605978432 = 2631110392099
BaseRepresentation
bin1000100101000100…
…11010011101000000
3102212222221221120210
410102202122131000
533413112302212
62041014034120
7222066112356
oct42242323500
912788857523
104605978432
111a53a55850
12a86648940
13585331533
14319a157d6
151be57453c
hex11289a740

4605978432 has 112 divisors (see below), whose sum is σ = 13313664000. Its totient is φ = 1393743360.

The previous prime is 4605978407. The next prime is 4605978467. The reversal of 4605978432 is 2348795064.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193319 + ... + 2195417.

It is an arithmetic number, because the mean of its divisors is an integer number (118872000).

Almost surely, 24605978432 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 4605978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

4605978432 is an abundant number, since it is smaller than the sum of its proper divisors (8707685568).

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

4605978432 is a wasteful number, since it uses less digits than its factorization.

4605978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 4605978432 is about 67867.3591058323. The cubic root of 4605978432 is about 1663.8236761515.

The spelling of 4605978432 in words is "four billion, six hundred five million, nine hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1039 1056 2078 2099 2112 3117 4156 4198 6234 6297 8312 8396 11429 12468 12594 16624 16792 22858 23089 24936 25188 33248 33584 34287 45716 46178 49872 50376 66496 67168 68574 69267 91432 92356 99744 100752 134336 137148 138534 182864 184712 199488 201504 274296 277068 365728 369424 403008 548592 554136 731456 738848 1097184 1108272 1477696 2180861 2194368 2216544 4361722 4433088 6542583 8723444 13085166 17446888 23989471 26170332 34893776 47978942 52340664 69787552 71968413 95957884 104681328 139575104 143936826 191915768 209362656 287873652 383831536 418725312 575747304 767663072 1151494608 1535326144 2302989216 4605978432