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4633066240 = 28511329053
BaseRepresentation
bin1000101000010011…
…01111101100000000
3102221212221011001221
410110021233230000
533442031104430
62043422404424
7222545261515
oct42411575400
912855834057
104633066240
111a68277270
12a93730714
1358ab26b1a
1431d46730c
151c1b2557a
hex11426fb00

4633066240 has 72 divisors (see below), whose sum is σ = 12106554768. Its totient is φ = 1684746240.

The previous prime is 4633066237. The next prime is 4633066241. The reversal of 4633066240 is 426603364.

It is a junction number, because it is equal to n+sod(n) for n = 4633066196 and 4633066205.

It is not an unprimeable number, because it can be changed into a prime (4633066241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150447 + ... + 178606.

It is an arithmetic number, because the mean of its divisors is an integer number (168146594).

Almost surely, 24633066240 is an apocalyptic number.

4633066240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4633066240 is an abundant number, since it is smaller than the sum of its proper divisors (7473488528).

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

4633066240 is a wasteful number, since it uses less digits than its factorization.

4633066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329085 (or 329071 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 4633066240 is about 68066.6308847441. The cubic root of 4633066240 is about 1667.0789579123.

The spelling of 4633066240 in words is "four billion, six hundred thirty-three million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 329053 658106 1316212 1645265 2632424 3290530 3619583 5264848 6581060 7239166 10529696 13162120 14478332 18097915 21059392 26324240 28956664 36195830 42118784 52648480 57913328 72391660 84237568 105296960 115826656 144783320 210593920 231653312 289566640 421187840 463306624 579133280 926613248 1158266560 2316533120 4633066240