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4980000894 = 23112379131317
BaseRepresentation
bin1001010001101010…
…01100100001111110
3110212001202020221120
410220311030201332
540144340012034
62142054411410
7234260211021
oct45065144176
913761666846
104980000894
112126098420
12b6b960b66
136149789bb
143535771b8
151e2305c49
hex128d4c87e

4980000894 has 128 divisors (see below), whose sum is σ = 11605524480. Its totient is φ = 1409865600.

The previous prime is 4980000841. The next prime is 4980000911.

4980000894 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15709624 + ... + 15709940.

It is an arithmetic number, because the mean of its divisors is an integer number (90668160).

Almost surely, 24980000894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980000894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802762240).

4980000894 is an abundant number, since it is smaller than the sum of its proper divisors (6625523586).

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

4980000894 is a wasteful number, since it uses less digits than its factorization.

4980000894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4980000894 is about 70569.1213917249. The cubic root of 4980000894 is about 1707.6930342043.

It can be divided in two parts, 4980000 and 894, that added together give a palindrome (4980894).

The spelling of 4980000894 in words is "four billion, nine hundred eighty million, eight hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 131 138 158 237 253 262 317 393 474 506 634 759 786 869 951 1441 1518 1738 1817 1902 2607 2882 3013 3487 3634 4323 5214 5451 6026 6974 7291 8646 9039 10349 10461 10902 14582 18078 19987 20698 20922 21873 25043 31047 33143 39974 41527 43746 50086 59961 62094 66286 75129 80201 83054 99429 113839 119922 124581 150258 160402 198858 227678 238027 240603 249162 275473 341517 456797 476054 481206 550946 575989 683034 714081 826419 913594 955121 1151978 1370391 1428162 1652838 1727967 1910242 2618297 2740782 2865363 3280633 3455934 5236594 5730726 6335879 6561266 7854891 9841899 10506331 12671758 15709782 19007637 19683798 21012662 31518993 36086963 38015274 63037986 72173926 75454559 108260889 150909118 216521778 226363677 452727354 830000149 1660000298 2490000447 4980000894