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4074743040 = 28351955849
BaseRepresentation
bin1111001011011111…
…1010010100000000
3101111222100101121220
43302313322110000
531321113234130
61512155515040
7202655513214
oct36267722400
911458311556
104074743040
1118010a4835
12958758a80
134cc261074
142a924c944
1518cadb410
hexf2dfa500

4074743040 has 144 divisors (see below), whose sum is σ = 13698888000. Its totient is φ = 1029390336.

The previous prime is 4074743017. The next prime is 4074743041. The reversal of 4074743040 is 403474704.

4074743040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4074742992 and 4074743010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074743041) 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, 45036 + ... + 100884.

Almost surely, 24074743040 is an apocalyptic number.

4074743040 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 4074743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849444000).

4074743040 is an abundant number, since it is smaller than the sum of its proper divisors (9624144960).

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

4074743040 is a wasteful number, since it uses less digits than its factorization.

4074743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55892 (or 55878 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4074743040 is about 63833.7139762367. The cubic root of 4074743040 is about 1597.2273647506.

The spelling of 4074743040 in words is "four billion, seventy-four million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 55849 72960 111698 167547 223396 279245 335094 446792 558490 670188 837735 893584 1061131 1116980 1340376 1675470 1787168 2122262 2233960 2680752 3183393 3350940 3574336 4244524 4467920 5305655 5361504 6366786 6701880 7148672 8489048 8935840 10611310 10723008 12733572 13403760 14297344 15916965 16978096 17871680 21222620 21446016 25467144 26807520 31833930 33956192 35743360 42445240 42892032 50934288 53615040 63667860 67912384 71486720 84890480 101868576 107230080 127335720 135824768 169780960 203737152 214460160 254671440 271649536 339561920 407474304 509342880 679123840 814948608 1018685760 1358247680 2037371520 4074743040