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5028742446 = 23713372291087
BaseRepresentation
bin1001010111011110…
…01000010100101110
3110222110110120210020
410223233020110232
540244324224241
62150555223010
7235421414460
oct45357102456
913873416706
105028742446
1121506596a2
12b84147a66
13621ab3360
14359c24130
151e6732b66
hex12bbc852e

5028742446 has 128 divisors (see below), whose sum is σ = 12780257280. Its totient is φ = 1283599872.

The previous prime is 5028742441. The next prime is 5028742447. The reversal of 5028742446 is 6442478205.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5028742398 and 5028742407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028742441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4625715 + ... + 4626801.

It is an arithmetic number, because the mean of its divisors is an integer number (99845760).

Almost surely, 25028742446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5028742446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390128640).

5028742446 is an abundant number, since it is smaller than the sum of its proper divisors (7751514834).

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

5028742446 is a wasteful number, since it uses less digits than its factorization.

5028742446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378.

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 5028742446 is about 70913.6266594792. The cubic root of 5028742446 is about 1713.2462809191.

The spelling of 5028742446 in words is "five billion, twenty-eight million, seven hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 229 259 273 458 481 518 546 687 777 962 1087 1374 1443 1554 1603 2174 2886 2977 3206 3261 3367 4809 5954 6522 6734 7609 8473 8931 9618 10101 14131 15218 16946 17862 20202 20839 22827 25419 28262 40219 41678 42393 45654 50838 59311 62517 80438 84786 98917 110149 118622 120657 125034 177933 197834 220298 241314 248923 281533 296751 330447 355866 497846 522847 563066 593502 660894 746769 771043 844599 1045694 1493538 1542086 1568541 1689198 1742461 2313129 3137082 3235999 3484922 3659929 4626258 5227383 6471998 7319858 9210151 9707997 10454766 10979787 18420302 19415994 21959574 22651993 27630453 45303986 55260906 64471057 67955979 119731963 128942114 135911958 193413171 239463926 359195889 386826342 718391778 838123741 1676247482 2514371223 5028742446