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4028055680 = 275113118457
BaseRepresentation
bin1111000000010111…
…0100000010000000
3101101201111102121102
43300011310002000
531222140240210
61503411113532
7201550623365
oct36005640200
911351442542
104028055680
111787806940
12944ba28a8
134c26956cc
142a2d7846c
15188967ea5
hexf0174080

4028055680 has 128 divisors (see below), whose sum is σ = 10844444160. Its totient is φ = 1417420800.

The previous prime is 4028055679. The next prime is 4028055683. The reversal of 4028055680 is 865508204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40280556802 = 32450465122360524800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4028055683) 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, 209012 + ... + 227468.

It is an arithmetic number, because the mean of its divisors is an integer number (84722220).

Almost surely, 24028055680 is an apocalyptic number.

4028055680 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 4028055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422222080).

4028055680 is an abundant number, since it is smaller than the sum of its proper divisors (6816388480).

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

4028055680 is a wasteful number, since it uses less digits than its factorization.

4028055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518 (or 18506 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 4028055680 is about 63466.9652654040. The cubic root of 4028055680 is about 1591.1037100269.

The spelling of 4028055680 in words is "four billion, twenty-eight million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 310 320 341 352 440 496 620 640 682 704 880 992 1240 1364 1408 1705 1760 1984 2480 2728 3410 3520 3968 4960 5456 6820 7040 9920 10912 13640 18457 19840 21824 27280 36914 43648 54560 73828 92285 109120 147656 184570 203027 218240 295312 369140 406054 572167 590624 738280 812108 1015135 1144334 1181248 1476560 1624216 2030270 2288668 2362496 2860835 2953120 3248432 4060540 4577336 5721670 5906240 6293837 6496864 8121080 9154672 11443340 11812480 12587674 12993728 16242160 18309344 22886680 25175348 25987456 31469185 32484320 36618688 45773360 50350696 62938370 64968640 73237376 91546720 100701392 125876740 129937280 183093440 201402784 251753480 366186880 402805568 503506960 805611136 1007013920 2014027840 4028055680