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4255019520 = 29351134903
BaseRepresentation
bin1111110110011110…
…0111001000000000
3101222112120101110120
43331213213020000
532203241111040
61542115500240
7210305032503
oct37547471000
911875511416
104255019520
111893936164
129a8bb7680
1352a700a3b
142c517913a
1519d84b7d0
hexfd9e7200

4255019520 has 160 divisors (see below), whose sum is σ = 13725942912. Its totient is φ = 1124401152.

The previous prime is 4255019513. The next prime is 4255019533. The reversal of 4255019520 is 259105524.

4255019520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42550195202 = 36210382231162060800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865389 + ... + 870291.

Almost surely, 24255019520 is an apocalyptic number.

4255019520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4255019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862971456).

4255019520 is an abundant number, since it is smaller than the sum of its proper divisors (9470923392).

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

4255019520 is a wasteful number, since it uses less digits than its factorization.

4255019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 4255019520 is about 65230.5106526080. The cubic root of 4255019520 is about 1620.4433476408.

The spelling of 4255019520 in words is "four billion, two hundred fifty-five million, nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 512 565 640 678 768 904 960 1130 1280 1356 1536 1695 1808 1920 2260 2560 2712 3390 3616 3840 4520 4903 5424 6780 7232 7680 9040 9806 10848 13560 14464 14709 18080 19612 21696 24515 27120 28928 29418 36160 39224 43392 49030 54240 57856 58836 72320 73545 78448 86784 98060 108480 117672 144640 147090 156896 173568 196120 216960 235344 289280 294180 313792 392240 433920 470688 554039 588360 627584 784480 867840 941376 1108078 1176720 1255168 1568960 1662117 1882752 2216156 2353440 2510336 2770195 3137920 3324234 3765504 4432312 4706880 5540390 6275840 6648468 7531008 8310585 8864624 9413760 11080780 12551680 13296936 16621170 17729248 18827520 22161560 26593872 33242340 35458496 37655040 44323120 53187744 66484680 70916992 88646240 106375488 132969360 141833984 177292480 212750976 265938720 283667968 354584960 425501952 531877440 709169920 851003904 1063754880 1418339840 2127509760 4255019520