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4651444240 = 245233249541
BaseRepresentation
bin1000101010011111…
…10110100000010000
3110000011111211221121
410111033312200100
534011232203430
62045320332024
7223160423632
oct42517664020
913004454847
104651444240
111a776899a3
12a99914014
1359188cb91
14321a8ca52
151c3555a7a
hex1153f6810

4651444240 has 40 divisors (see below), whose sum is σ = 10861066008. Its totient is φ = 1852584960.

The previous prime is 4651444223. The next prime is 4651444243. The reversal of 4651444240 is 424441564.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 4615300096 = 6012^2 + 67936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4651444196 and 4651444205.

It is not an unprimeable number, because it can be changed into a prime (4651444243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106131 + ... + 143410.

Almost surely, 24651444240 is an apocalyptic number.

4651444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4651444240 is an abundant number, since it is smaller than the sum of its proper divisors (6209621768).

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

4651444240 is a wasteful number, since it uses less digits than its factorization.

4651444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249787 (or 249781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 4651444240 is about 68201.4973442666. The cubic root of 4651444240 is about 1669.2803190613.

The spelling of 4651444240 in words is "four billion, six hundred fifty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 9320 18640 249541 499082 998164 1247705 1996328 2495410 3992656 4990820 9981640 19963280 58143053 116286106 232572212 290715265 465144424 581430530 930288848 1162861060 2325722120 4651444240