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4958754048 = 28323169427
BaseRepresentation
bin1001001111001000…
…01001010100000000
3110210120202210202100
410213210021110000
540123420112143
62140015150400
7233611466613
oct44744112400
913716683670
104958754048
1121150a6346
12b64815400
13610449bc1
1435080617a
151e050a6d3
hex127909500

4958754048 has 108 divisors (see below), whose sum is σ = 14758726528. Its totient is φ = 1599575040.

The previous prime is 4958753999. The next prime is 4958754067. The reversal of 4958754048 is 8404578594.

It is a happy number.

4958754048 is a `hidden beast` number, since 4 + 9 + 58 + 7 + 540 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4958753985 and 4958754003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36711 + ... + 106137.

Almost surely, 24958754048 is an apocalyptic number.

4958754048 is a gapful number since it is divisible by the number (48) 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 4958754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379363264).

4958754048 is an abundant number, since it is smaller than the sum of its proper divisors (9799972480).

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

4958754048 is a wasteful number, since it uses less digits than its factorization.

4958754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69480 (or 69463 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 4958754048 is about 70418.4212262672. The cubic root of 4958754048 is about 1705.2609855530.

The spelling of 4958754048 in words is "four billion, nine hundred fifty-eight million, seven hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 69427 71424 138854 208281 277708 416562 555416 624843 833124 1110832 1249686 1666248 2152237 2221664 2499372 3332496 4304474 4443328 4998744 6456711 6664992 8608948 8886656 9997488 12913422 13329984 17217896 17773312 19370133 19994976 25826844 26659968 34435792 38740266 39989952 51653688 53319936 68871584 77480532 79979904 103307376 137743168 154961064 159959808 206614752 275486336 309922128 413229504 550972672 619844256 826459008 1239688512 1652918016 2479377024 4958754048