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4061843040 = 25358779649
BaseRepresentation
bin1111001000011010…
…1100111001100000
3101111002002000011010
43302012230321200
531304312434130
61511015220520
7202441044663
oct36206547140
911432060133
104061843040
1117a4893882
12954377740
134c9695528
142a76516da
1518b8de0b0
hexf21ace60

4061843040 has 96 divisors (see below), whose sum is σ = 12810722400. Its totient is φ = 1081810944.

The previous prime is 4061843039. The next prime is 4061843053. The reversal of 4061843040 is 403481604.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4061842989 and 4061843007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416136 + ... + 425784.

It is an arithmetic number, because the mean of its divisors is an integer number (133445025).

Almost surely, 24061843040 is an apocalyptic number.

4061843040 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 4061843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405361200).

4061843040 is an abundant number, since it is smaller than the sum of its proper divisors (8748879360).

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

4061843040 is a wasteful number, since it uses less digits than its factorization.

4061843040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4061843040 is about 63732.5900932953. The cubic root of 4061843040 is about 1595.5400587956.

The spelling of 4061843040 in words is "four billion, sixty-one million, eight hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 877 1754 2631 3508 4385 5262 7016 8770 9649 10524 13155 14032 17540 19298 21048 26310 28064 28947 35080 38596 42096 48245 52620 57894 70160 77192 84192 96490 105240 115788 140320 144735 154384 192980 210480 231576 289470 308768 385960 420960 463152 578940 771920 926304 1157880 1543840 2315760 4631520 8462173 16924346 25386519 33848692 42310865 50773038 67697384 84621730 101546076 126932595 135394768 169243460 203092152 253865190 270789536 338486920 406184304 507730380 676973840 812368608 1015460760 1353947680 2030921520 4061843040