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4642787044 = 22723121572
BaseRepresentation
bin1000101001011101…
…10100111011100100
3102222120020000111201
410110232310323210
534002023141134
62044411012244
7223024016200
oct42456647344
912876200451
104642787044
111a72806695
12a96a3a084
1358cb4b58c
14320877b00
151c28e5914
hex114bb4ee4

4642787044 has 81 divisors (see below), whose sum is σ = 9828707049. Its totient is φ = 1913315040.

The previous prime is 4642787027. The next prime is 4642787053. The reversal of 4642787044 is 4407872464.

The square root of 4642787044 is 68138.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1360872100 + 3281914944 = 36890^2 + 57288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4642786985 and 4642787003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29571814 + ... + 29571970.

Almost surely, 24642787044 is an apocalyptic number.

4642787044 is the 68138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642787044

4642787044 is an abundant number, since it is smaller than the sum of its proper divisors (5185920005).

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

4642787044 is a wasteful number, since it uses less digits than its factorization.

4642787044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The cubic root of 4642787044 is about 1668.2440630126.

The spelling of 4642787044 in words is "four billion, six hundred forty-two million, seven hundred eighty-seven thousand, forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 157 196 217 314 434 628 868 961 1099 1519 1922 2198 3038 3844 4396 4867 6076 6727 7693 9734 13454 15386 19468 24649 26908 30772 34069 47089 49298 68138 94178 98596 136276 150877 172543 188356 238483 301754 345086 476966 603508 690172 764119 953932 1056139 1207801 1528238 2112278 2415602 3056476 4224556 4831204 5348833 7392973 10697666 14785946 21395332 23687689 29571892 37441831 47375378 74883662 94750756 149767324 165813823 331627646 663255292 1160696761 2321393522 4642787044