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4028891040 = 253252797841
BaseRepresentation
bin1111000000100011…
…1111111110100000
3101101210001212111200
43300020333332200
531222344003130
61503441041200
7201561003006
oct36010777640
911353055450
104028891040
111788227519
12945326200
134c28c89c5
142a3114a76
15188a80760
hexf023ffa0

4028891040 has 72 divisors (see below), whose sum is σ = 13748595588. Its totient is φ = 1074370560.

The previous prime is 4028891021. The next prime is 4028891057. The reversal of 4028891040 is 401988204.

It can be written as a sum of positive squares in 2 ways, for example, as 3967488144 + 61402896 = 62988^2 + 7836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4028890986 and 4028891004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397481 + ... + 1400360.

Almost surely, 24028891040 is an apocalyptic number.

4028891040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4028891040 is an abundant number, since it is smaller than the sum of its proper divisors (9719704548).

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

4028891040 is a wasteful number, since it uses less digits than its factorization.

4028891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797862 (or 2797851 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4028891040 is about 63473.5459857097. The cubic root of 4028891040 is about 1591.2136929922.

It can be divided in two parts, 40288 and 91040, that added together give a triangular number (131328 = T512).

The spelling of 4028891040 in words is "four billion, twenty-eight million, eight hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2797841 5595682 8393523 11191364 13989205 16787046 22382728 25180569 27978410 33574092 41967615 44765456 50361138 55956820 67148184 83935230 89530912 100722276 111913640 125902845 134296368 167870460 201444552 223827280 251805690 268592736 335740920 402889104 447654560 503611380 671481840 805778208 1007222760 1342963680 2014445520 4028891040