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4041385240 = 2354710332081
BaseRepresentation
bin1111000011100010…
…1010010100011000
3101102122120122022211
43300320222110120
531234043311430
61505004524504
7202102131154
oct36070522430
911378518284
104041385240
111794290602
12949550734
134c5381919
142a4a48064
15189bec72a
hexf0e2a518

4041385240 has 64 divisors (see below), whose sum is σ = 9300044160. Its totient is φ = 1579868160.

The previous prime is 4041385207. The next prime is 4041385241. The reversal of 4041385240 is 425831404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041385241) 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, 1941000 + ... + 1943080.

It is an arithmetic number, because the mean of its divisors is an integer number (145313190).

Almost surely, 24041385240 is an apocalyptic number.

4041385240 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 4041385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650022080).

4041385240 is an abundant number, since it is smaller than the sum of its proper divisors (5258658920).

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

4041385240 is a wasteful number, since it uses less digits than its factorization.

4041385240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4041385240 is about 63571.8903289811. The cubic root of 4041385240 is about 1592.8568603047.

The spelling of 4041385240 in words is "four billion, forty-one million, three hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1033 1880 2066 2081 4132 4162 5165 8264 8324 10330 10405 16648 20660 20810 41320 41620 48551 83240 97102 97807 194204 195614 242755 388408 391228 485510 489035 782456 971020 978070 1942040 1956140 2149673 3912280 4299346 8598692 10748365 17197384 21496730 42993460 85986920 101034631 202069262 404138524 505173155 808277048 1010346310 2020692620 4041385240