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4085108352 = 273213272777
BaseRepresentation
bin1111001101111101…
…1100111010000000
3101112200212000011100
43303133130322000
531331241431402
61513210014400
7203142563613
oct36337347200
911480760140
104085108352
111806a34406
12960117400
1350144cca0
142aa78a17a
1518d98771c
hexf37dce80

4085108352 has 96 divisors (see below), whose sum is σ = 12659626980. Its totient is φ = 1256951808.

The previous prime is 4085108351. The next prime is 4085108383. The reversal of 4085108352 is 2538015804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3183667776 + 901440576 = 56424^2 + 30024^2 .

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

It is a super-2 number, since 2×40851083522 = 33376220495160311808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4085108351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121413 + ... + 151364.

Almost surely, 24085108352 is an apocalyptic number.

It is an amenable number.

4085108352 is an abundant number, since it is smaller than the sum of its proper divisors (8574518628).

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

4085108352 is a wasteful number, since it uses less digits than its factorization.

4085108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272810 (or 272795 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4085108352 is about 63914.8523584307. The cubic root of 4085108352 is about 1598.5805577789.

The spelling of 4085108352 in words is "four billion, eighty-five million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 272777 545554 818331 1091108 1636662 2182216 2454993 3273324 3546101 4364432 4909986 6546648 7092202 8728864 9819972 10638303 13093296 14184404 17457728 19639944 21276606 26186592 28368808 31914909 34915456 39279888 42553212 52373184 56737616 63829818 78559776 85106424 104746368 113475232 127659636 157119552 170212848 226950464 255319272 314239104 340425696 453900928 510638544 680851392 1021277088 1361702784 2042554176 4085108352