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4962933248 = 29721315217
BaseRepresentation
bin1001001111101000…
…00101101000000000
3110210212122010112112
410213310011220000
540131002330443
62140244514452
7233662144100
oct44764055000
913725563475
104962933248
1121174a0229
12b660aba28
136112811c0
143511b3200
151e0a83b18
hex127d05a00

4962933248 has 120 divisors (see below), whose sum is σ = 12423275172. Its totient is φ = 1963229184.

The previous prime is 4962933203. The next prime is 4962933257. The reversal of 4962933248 is 8423392694.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4962920704 + 12544 = 70448^2 + 112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4962933196 and 4962933205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318536 + ... + 333752.

Almost surely, 24962933248 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 4962933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211637586).

4962933248 is an abundant number, since it is smaller than the sum of its proper divisors (7460341924).

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

4962933248 is a wasteful number, since it uses less digits than its factorization.

4962933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15262 (or 15239 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 50.

The square root of 4962933248 is about 70448.0890301504. The cubic root of 4962933248 is about 1705.7399113403.

The spelling of 4962933248 in words is "four billion, nine hundred sixty-two million, nine hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12544 15217 20384 23296 25088 30434 40768 46592 60868 81536 106519 121736 163072 197821 213038 243472 326144 395642 426076 486944 745633 791284 852152 973888 1384747 1491266 1582568 1704304 1947776 2769494 2982532 3165136 3408608 3895552 5538988 5965064 6330272 6817216 7791104 9693229 11077976 11930128 12660544 13634432 19386458 22155952 23860256 25321088 27268864 38772916 44311904 47720512 50642176 54537728 77545832 88623808 95441024 101284352 155091664 177247616 190882048 310183328 354495232 381764096 620366656 708990464 1240733312 2481466624 4962933248