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3800545440 = 253531255413
BaseRepresentation
bin1110001010000111…
…1011100010100000
3100210212101201020020
43202201323202200
530240414423230
61425042513440
7163116050256
oct34241734240
910725351206
103800545440
11168034404a
128a0965880
134874c8773
14280a745d6
151739c7810
hexe287b8a0

3800545440 has 96 divisors (see below), whose sum is σ = 12357950976. Its totient is φ = 980782080.

The previous prime is 3800545429. The next prime is 3800545447. The reversal of 3800545440 is 445450083.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3800545447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112827 + ... + 142586.

It is an arithmetic number, because the mean of its divisors is an integer number (128728656).

Almost surely, 23800545440 is an apocalyptic number.

3800545440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3800545440 is an abundant number, since it is smaller than the sum of its proper divisors (8557405536).

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

3800545440 is a wasteful number, since it uses less digits than its factorization.

3800545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255462 (or 255454 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 3800545440 is about 61648.5639735428. The cubic root of 3800545440 is about 1560.5654097741.

The spelling of 3800545440 in words is "three billion, eight hundred million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 255413 510826 766239 1021652 1277065 1532478 2043304 2554130 3064956 3831195 4086608 5108260 6129912 7662390 7917803 8173216 10216520 12259824 15324780 15835606 20433040 23753409 24519648 30649560 31671212 39589015 40866080 47506818 61299120 63342424 79178030 95013636 118767045 122598240 126684848 158356060 190027272 237534090 253369696 316712120 380054544 475068180 633424240 760109088 950136360 1266848480 1900272720 3800545440