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5042327928 = 23311412232089
BaseRepresentation
bin1001011001000101…
…11101000101111000
3111000102000210120020
410230202331011320
540311313443203
62152202330440
7235645036341
oct45442750570
914012023506
105042327928
112158298670
12b887b9a20
1362485bbc1
1435b95d0c8
151e7a18153
hex12c8bd178

5042327928 has 128 divisors (see below), whose sum is σ = 14157158400. Its totient is φ = 1483315200.

The previous prime is 5042327839. The next prime is 5042327929. The reversal of 5042327928 is 8297232405.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5042327928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042327929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412708 + ... + 2414796.

It is an arithmetic number, because the mean of its divisors is an integer number (110602800).

Almost surely, 25042327928 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 5042327928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078579200).

5042327928 is an abundant number, since it is smaller than the sum of its proper divisors (9114830472).

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

5042327928 is a wasteful number, since it uses less digits than its factorization.

5042327928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5042327928 is about 71009.3509898520. The cubic root of 5042327928 is about 1714.7877098986.

The spelling of 5042327928 in words is "five billion, forty-two million, three hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 223 246 264 328 446 451 492 669 892 902 984 1338 1353 1784 1804 2089 2453 2676 2706 3608 4178 4906 5352 5412 6267 7359 8356 9143 9812 10824 12534 14718 16712 18286 19624 22979 25068 27429 29436 36572 45958 50136 54858 58872 68937 73144 85649 91916 100573 109716 137874 171298 183832 201146 219432 256947 275748 301719 342596 402292 465847 513894 551496 603438 685192 804584 931694 942139 1027788 1206876 1397541 1863388 1884278 2055576 2413752 2795082 2826417 3726776 3768556 5124317 5590164 5652834 7537112 10248634 11180328 11305668 15372951 19099727 20497268 22611336 30745902 38199454 40994536 57299181 61491804 76398908 114598362 122983608 152797816 210096997 229196724 420193994 458393448 630290991 840387988 1260581982 1680775976 2521163964 5042327928