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4945377248 = 25717279967
BaseRepresentation
bin1001001101100010…
…00111011111100000
3110202122121012020022
410212301013133200
540112004032443
62134420333012
7233360004320
oct44661073740
913678535208
104945377248
11210859a139
12b60244168
1360a745336
1434cb23280
151de266e68
hex126c477e0

4945377248 has 144 divisors (see below), whose sum is σ = 11982136320. Its totient is φ = 1967486976.

The previous prime is 4945377193. The next prime is 4945377251. The reversal of 4945377248 is 8427735494.

It is a happy number.

It is a super-2 number, since 2×49453772482 = 48913512250072107008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4945377248.

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, 5113661 + ... + 5114627.

It is an arithmetic number, because the mean of its divisors is an integer number (83209280).

Almost surely, 24945377248 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 4945377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991068160).

4945377248 is an abundant number, since it is smaller than the sum of its proper divisors (7036759072).

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

4945377248 is a wasteful number, since it uses less digits than its factorization.

4945377248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1072 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 53.

The square root of 4945377248 is about 70323.3762556947. The cubic root of 4945377248 is about 1703.7262265243.

The spelling of 4945377248 in words is "four billion, nine hundred forty-five million, three hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 79 112 119 136 158 224 238 272 289 316 476 544 553 578 632 952 967 1106 1156 1264 1343 1904 1934 2023 2212 2312 2528 2686 3808 3868 4046 4424 4624 5372 6769 7736 8092 8848 9248 9401 10744 13538 15472 16184 16439 17696 18802 21488 22831 27076 30944 32368 32878 37604 42976 45662 54152 64736 65756 75208 76393 91324 108304 115073 131512 150416 152786 159817 182648 216608 230146 263024 279463 300832 305572 319634 365296 460292 526048 534751 558926 611144 639268 730592 920584 1069502 1117852 1222288 1278536 1298681 1841168 1956241 2139004 2235704 2444576 2557072 2597362 3682336 3912482 4278008 4471408 5114144 5194724 7824964 8556016 8942816 9090767 10389448 15649928 17112032 18181534 20778896 22077577 31299856 36363068 41557792 44155154 62599712 72726136 88310308 145452272 154543039 176620616 290904544 309086078 353241232 618172156 706482464 1236344312 2472688624 4945377248