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4262259920 = 245291837181
BaseRepresentation
bin1111111000001100…
…1110110011010000
3102000001012020102112
43332003032303100
532212114304140
61542535004452
7210423416522
oct37603166320
912001166375
104262259920
111897a30a66
129ab509728
1352c0674b9
142c6101a12
1519e2cbc65
hexfe0cecd0

4262259920 has 40 divisors (see below), whose sum is σ = 10251475560. Its totient is φ = 1646113280.

The previous prime is 4262259899. The next prime is 4262259931. The reversal of 4262259920 is 299522624.

It can be written as a sum of positive squares in 4 ways, for example, as 1775442496 + 2486817424 = 42136^2 + 49868^2 .

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 916271 + ... + 920910.

It is an arithmetic number, because the mean of its divisors is an integer number (256286889).

Almost surely, 24262259920 is an apocalyptic number.

4262259920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4262259920 is an abundant number, since it is smaller than the sum of its proper divisors (5989215640).

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

4262259920 is a wasteful number, since it uses less digits than its factorization.

4262259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837223 (or 1837217 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 4262259920 is about 65285.9856324464. The cubic root of 4262259920 is about 1621.3619497314.

The spelling of 4262259920 in words is "four billion, two hundred sixty-two million, two hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1837181 3674362 7348724 9185905 14697448 18371810 29394896 36743620 53278249 73487240 106556498 146974480 213112996 266391245 426225992 532782490 852451984 1065564980 2131129960 4262259920