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4427777244 = 22311316611637
BaseRepresentation
bin1000001111110101…
…01000010011011100
3102102120122101111210
410013322220103130
533032002332434
62011210344420
7214503325362
oct40772502334
912376571453
104427777244
111972401640
12a36a2b110
1355743a347
143000a9632
151adac3ee9
hex107ea84dc

4427777244 has 96 divisors (see below), whose sum is σ = 11658995712. Its totient is φ = 1295712000.

The previous prime is 4427777201. The next prime is 4427777261.

4427777244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44277772442 = 39210422644968471072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4427777193 and 4427777202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703994 + ... + 2705630.

It is an arithmetic number, because the mean of its divisors is an integer number (121447872).

Almost surely, 24427777244 is an apocalyptic number.

4427777244 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 4427777244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829497856).

4427777244 is an abundant number, since it is smaller than the sum of its proper divisors (7231218468).

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

4427777244 is a wasteful number, since it uses less digits than its factorization.

4427777244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 48.

The square root of 4427777244 is about 66541.5452480629. The cubic root of 4427777244 is about 1642.0835658365.

The spelling of 4427777244 in words is "four billion, four hundred twenty-seven million, seven hundred seventy-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 661 682 1023 1322 1364 1637 1983 2046 2644 3274 3966 4092 4911 6548 7271 7932 9822 14542 18007 19644 20491 21813 29084 36014 40982 43626 50747 54021 61473 72028 81964 87252 101494 108042 122946 152241 202988 216084 225401 245892 304482 450802 558217 608964 676203 901604 1082057 1116434 1352406 1674651 2164114 2232868 2704812 3246171 3349302 4328228 6492342 6698604 11902627 12984684 23805254 33543767 35707881 47610508 67087534 71415762 100631301 134175068 142831524 201262602 368981437 402525204 737962874 1106944311 1475925748 2213888622 4427777244