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4638030480 = 243256441709
BaseRepresentation
bin1000101000111001…
…01011101010010000
3102222020021100201200
410110130223222100
533444313433410
62044121031200
7222635415516
oct42434535220
912866240650
104638030480
111a70057a46
12a95325500
1358bb74545
1431dd9a4b6
151c22a63c0
hex11472ba90

4638030480 has 60 divisors (see below), whose sum is σ = 15576054780. Its totient is φ = 1236807936.

The previous prime is 4638030479. The next prime is 4638030521. The reversal of 4638030480 is 840308364.

It can be written as a sum of positive squares in 2 ways, for example, as 3261323664 + 1376706816 = 57108^2 + 37104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×46380304802 = 43022653466818060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3220135 + ... + 3221574.

It is an arithmetic number, because the mean of its divisors is an integer number (259600913).

Almost surely, 24638030480 is an apocalyptic number.

4638030480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4638030480 is an abundant number, since it is smaller than the sum of its proper divisors (10938024300).

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

4638030480 is a wasteful number, since it uses less digits than its factorization.

4638030480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441728 (or 6441719 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4638030480 is about 68103.0871546951. The cubic root of 4638030480 is about 1667.6741595632.

The spelling of 4638030480 in words is "four billion, six hundred thirty-eight million, thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6441709 12883418 19325127 25766836 32208545 38650254 51533672 57975381 64417090 77300508 96625635 103067344 115950762 128834180 154601016 193251270 231901524 257668360 289876905 309202032 386502540 463803048 515336720 579753810 773005080 927606096 1159507620 1546010160 2319015240 4638030480