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4278057040 = 2452331179419
BaseRepresentation
bin1111111011111101…
…1111100001010000
3102001010220211000001
43332333133201100
532230140311130
61544301335344
7211004612335
oct37677374120
912033824001
104278057040
1118a5940634
129b4867554
135324088ca
142c825498c
151a089c6ca
hexfefdf850

4278057040 has 160 divisors (see below), whose sum is σ = 10799308800. Its totient is φ = 1571412480.

The previous prime is 4278057037. The next prime is 4278057053. The reversal of 4278057040 is 407508724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10209951 + ... + 10210369.

It is an arithmetic number, because the mean of its divisors is an integer number (67495680).

Almost surely, 24278057040 is an apocalyptic number.

4278057040 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 4278057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

4278057040 is an abundant number, since it is smaller than the sum of its proper divisors (6521251760).

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

4278057040 is a wasteful number, since it uses less digits than its factorization.

4278057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 4278057040 is about 65406.8577444292. The cubic root of 4278057040 is about 1623.3625528525.

The spelling of 4278057040 in words is "four billion, two hundred seventy-eight million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 179 184 230 248 310 358 368 419 460 496 620 713 716 838 895 920 1240 1426 1432 1676 1790 1840 2095 2480 2852 2864 3352 3565 3580 4117 4190 5549 5704 6704 7130 7160 8234 8380 9637 11098 11408 12989 14260 14320 16468 16760 19274 20585 22196 25978 27745 28520 32936 33520 38548 41170 44392 48185 51956 55490 57040 64945 65872 75001 77096 82340 88784 96370 103912 110980 127627 129890 150002 154192 164680 192740 207824 221960 255254 259780 298747 300004 329360 375005 385480 443920 510508 519560 597494 600008 638135 750010 770960 1021016 1039120 1194988 1200016 1276270 1493735 1500020 1725023 2042032 2325031 2389976 2552540 2987470 3000040 3450046 4650062 4779952 5105080 5974940 6000080 6900092 8625115 9300124 10210160 11625155 11949880 13800184 17250230 18600248 23250310 23899760 27600368 34500460 37200496 46500620 53475713 69000920 93001240 106951426 138001840 186002480 213902852 267378565 427805704 534757130 855611408 1069514260 2139028520 4278057040