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4299078240 = 25355110573
BaseRepresentation
bin1000000000011111…
…01011101001100000
3102002121110210200000
410000033223221200
532301031000430
61550332100000
7211351363542
oct40017535140
912077423600
104299078240
111906799126
129bb904600
13536888aa2
142cad67692
151a2650e60
hex1003eba60

4299078240 has 144 divisors (see below), whose sum is σ = 15214097808. Its totient is φ = 1146410496.

The previous prime is 4299078227. The next prime is 4299078253. The reversal of 4299078240 is 428709924.

It is an interprime number because it is at equal distance from previous prime (4299078227) and next prime (4299078253).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16407 + ... + 94166.

It is an arithmetic number, because the mean of its divisors is an integer number (105653457).

Almost surely, 24299078240 is an apocalyptic number.

4299078240 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 4299078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607048904).

4299078240 is an abundant number, since it is smaller than the sum of its proper divisors (10915019568).

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

4299078240 is a wasteful number, since it uses less digits than its factorization.

4299078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110603 (or 110583 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4299078240 is about 65567.3565122157. The cubic root of 4299078240 is about 1626.0171292159.

The spelling of 4299078240 in words is "four billion, two hundred ninety-nine million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 110573 221146 331719 442292 552865 663438 884584 995157 1105730 1326876 1658595 1769168 1990314 2211460 2653752 2985471 3317190 3538336 3980628 4422920 4975785 5307504 5970942 6634380 7961256 8845840 8956413 9951570 10615008 11941884 13268760 14927355 15922512 17691680 17912826 19903140 23883768 26537520 26869239 29854710 31845024 35825652 39806280 44782065 47767536 53075040 53738478 59709420 71651304 79612560 89564130 95535072 107476956 119418840 134346195 143302608 159225120 179128260 214953912 238837680 268692390 286605216 358256520 429907824 477675360 537384780 716513040 859815648 1074769560 1433026080 2149539120 4299078240