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4200880040 = 235721437001
BaseRepresentation
bin1111101001100100…
…0101011110101000
3101211202200211001122
43322121011132220
532100411130130
61532503234412
7206046614450
oct37231053650
911752624048
104200880040
111866318395
12992a48a08
1351c426446
142bbcc4d60
15198c052e5
hexfa6457a8

4200880040 has 64 divisors (see below), whose sum is σ = 10808847360. Its totient is φ = 1439424000.

The previous prime is 4200880039. The next prime is 4200880043. The reversal of 4200880040 is 400880024.

It is a super-2 number, since 2×42008800402 = 35294786220940803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4200879991 and 4200880009.

It is not an unprimeable number, because it can be changed into a prime (4200880043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596540 + ... + 603540.

It is an arithmetic number, because the mean of its divisors is an integer number (168888240).

Almost surely, 24200880040 is an apocalyptic number.

4200880040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200880040 is an abundant number, since it is smaller than the sum of its proper divisors (6607967320).

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

4200880040 is a wasteful number, since it uses less digits than its factorization.

4200880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4200880040 is about 64814.1962844561. The cubic root of 4200880040 is about 1613.5413271822.

The spelling of 4200880040 in words is "four billion, two hundred million, eight hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2143 4286 7001 8572 10715 14002 15001 17144 21430 28004 30002 35005 42860 49007 56008 60004 70010 75005 85720 98014 120008 140020 150010 196028 245035 280040 300020 392056 490070 600040 980140 1960280 15003143 30006286 60012572 75015715 105022001 120025144 150031430 210044002 300062860 420088004 525110005 600125720 840176008 1050220010 2100440020 4200880040