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4644700040 = 2352343137857
BaseRepresentation
bin1000101001101100…
…00111111110001000
3102222200211012122102
410110312013332020
534003020400130
62044520012532
7223046204351
oct42466077610
912880735572
104644700040
111a738a2982
12a97601148
1359036b226
14320c14d28
151c2b72645
hex114d87f88

4644700040 has 128 divisors (see below), whose sum is σ = 11253116160. Its totient is φ = 1721094144.

The previous prime is 4644700037. The next prime is 4644700051. The reversal of 4644700040 is 400074464.

It is a junction number, because it is equal to n+sod(n) for n = 4644699976 and 4644700012.

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, 5419292 + ... + 5420148.

It is an arithmetic number, because the mean of its divisors is an integer number (87914970).

Almost surely, 24644700040 is an apocalyptic number.

4644700040 is a gapful number since it is divisible by the number (40) 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 4644700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626558080).

4644700040 is an abundant number, since it is smaller than the sum of its proper divisors (6608416120).

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

4644700040 is a wasteful number, since it uses less digits than its factorization.

4644700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4644700040 is about 68152.0362131609. The cubic root of 4644700040 is about 1668.4731571589.

The spelling of 4644700040 in words is "four billion, six hundred forty-four million, seven hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 137 172 184 215 230 274 344 430 460 548 685 857 860 920 989 1096 1370 1714 1720 1978 2740 3151 3428 3956 4285 4945 5480 5891 6302 6856 7912 8570 9890 11782 12604 15755 17140 19711 19780 23564 25208 29455 31510 34280 36851 39422 39560 47128 58910 63020 73702 78844 98555 117409 117820 126040 135493 147404 157688 184255 197110 234818 235640 270986 294808 368510 394220 469636 541972 587045 677465 737020 788440 847573 939272 1083944 1174090 1354930 1474040 1695146 2348180 2700407 2709860 3390292 4237865 4696360 5048587 5400814 5419720 6780584 8475730 10097174 10801628 13502035 16951460 20194348 21603256 25242935 27004070 33902920 40388696 50485870 54008140 100971740 108016280 116117501 201943480 232235002 464470004 580587505 928940008 1161175010 2322350020 4644700040