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4988315024 = 2471121919373
BaseRepresentation
bin1001010010101001…
…11010010110010000
3110212122101122210022
410221110322112100
540204002040044
62142552523012
7234420656330
oct45124722620
913778348708
104988315024
11212a856a00
12b726b0468
136165ca0c4
143546dd0c0
151e2de93ee
hex12953a590

4988315024 has 120 divisors (see below), whose sum is σ = 12780640320. Its totient is φ = 1841114880.

The previous prime is 4988315011. The next prime is 4988315039. The reversal of 4988315024 is 4205138894.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247802 + ... + 267174.

It is an arithmetic number, because the mean of its divisors is an integer number (106505336).

Almost surely, 24988315024 is an apocalyptic number.

4988315024 is a gapful number since it is divisible by the number (44) 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 4988315024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390320160).

4988315024 is an abundant number, since it is smaller than the sum of its proper divisors (7792325296).

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

4988315024 is a wasteful number, since it uses less digits than its factorization.

4988315024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19429 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 4988315024 is about 70628.0045307808. The cubic root of 4988315024 is about 1708.6428391216.

The spelling of 4988315024 in words is "four billion, nine hundred eighty-eight million, three hundred fifteen thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 121 133 152 154 176 209 242 266 304 308 418 484 532 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2926 3344 3388 4598 5852 6776 9196 11704 13552 16093 18392 19373 23408 32186 36784 38746 64372 77492 128744 135611 154984 213103 257488 271222 309968 368087 426206 542444 736174 852412 1084888 1472348 1491721 1704824 2169776 2344133 2576609 2944696 2983442 3409648 4048957 4688266 5153218 5889392 5966884 8097914 9376532 10306436 11933768 16195828 16408931 18753064 20612872 23867536 28342699 32391656 32817862 37506128 41225744 44538527 56685398 64783312 65635724 89077054 113370796 131271448 178154108 226741592 262542896 311769689 356308216 453483184 623539378 712616432 1247078756 2494157512 4988315024