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4074480040 = 2353112725873
BaseRepresentation
bin1111001011011011…
…1010000110101000
3101111221212000212011
43302312322012220
531321031330130
61512150125304
7202653336361
oct36266720650
911457760764
104074480040
111800a35184
12958650834
134cc19b447
142a91c0b68
1518ca8852a
hexf2dba1a8

4074480040 has 64 divisors (see below), whose sum is σ = 9538191360. Its totient is φ = 1564738560.

The previous prime is 4074480029. The next prime is 4074480041. The reversal of 4074480040 is 400844704.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 4074479984 and 4074480011.

It is not an unprimeable number, because it can be changed into a prime (4074480041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144544 + ... + 170416.

It is an arithmetic number, because the mean of its divisors is an integer number (149034240).

Almost surely, 24074480040 is an apocalyptic number.

4074480040 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 4074480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769095680).

4074480040 is an abundant number, since it is smaller than the sum of its proper divisors (5463711320).

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

4074480040 is a wasteful number, since it uses less digits than its factorization.

4074480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26042 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 4074480040 is about 63831.6539030597. The cubic root of 4074480040 is about 1597.1930002250.

The spelling of 4074480040 in words is "four billion, seventy-four million, four hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 620 635 1016 1240 1270 2540 3937 5080 7874 15748 19685 25873 31496 39370 51746 78740 103492 129365 157480 206984 258730 517460 802063 1034920 1604126 3208252 3285871 4010315 6416504 6571742 8020630 13143484 16041260 16429355 26286968 32082520 32858710 65717420 101862001 131434840 203724002 407448004 509310005 814896008 1018620010 2037240020 4074480040