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4640999040 = 27325805729
BaseRepresentation
bin1000101001010000…
…00000011010000000
3102222102212011211100
410110220000122000
534001043432130
62044304414400
7223002561306
oct42450003200
912872764740
104640999040
111a717a52a7
12a96317400
1358c6737a2
14320530276
151c2690c60
hex114a00680

4640999040 has 96 divisors (see below), whose sum is σ = 16025969700. Its totient is φ = 1237598208.

The previous prime is 4640999003. The next prime is 4640999089. The reversal of 4640999040 is 409990464.

It can be written as a sum of positive squares in 2 ways, for example, as 4570841664 + 70157376 = 67608^2 + 8376^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 397105 + ... + 408624.

Almost surely, 24640999040 is an apocalyptic number.

4640999040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640999040 is an abundant number, since it is smaller than the sum of its proper divisors (11384970660).

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

4640999040 is a wasteful number, since it uses less digits than its factorization.

4640999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805754 (or 805739 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4640999040 is about 68124.8782751206. The cubic root of 4640999040 is about 1668.0298805958.

The spelling of 4640999040 in words is "four billion, six hundred forty million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 805729 1611458 2417187 3222916 4028645 4834374 6445832 7251561 8057290 9668748 12085935 12891664 14503122 16114580 19337496 24171870 25783328 29006244 32229160 36257805 38674992 48343740 51566656 58012488 64458320 72515610 77349984 96687480 103133312 116024976 128916640 145031220 154699968 193374960 232049952 257833280 290062440 309399936 386749920 464099904 515666560 580124880 773499840 928199808 1160249760 1546999680 2320499520 4640999040