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4050020352 = 2113794169
BaseRepresentation
bin1111000101100110…
…0110100000000000
3101110020211100110210
43301121212200000
531243301122402
61505513554120
7202235414340
oct36131464000
911406740423
104050020352
111799149264
12950415940
134c70b6161
142a5c54d20
1518a85606c
hexf1666800

4050020352 has 96 divisors (see below), whose sum is σ = 12340036800. Its totient is φ = 1157136384.

The previous prime is 4050020323. The next prime is 4050020357. The reversal of 4050020352 is 2530200504.

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

It is a super-2 number, since 2×40500203522 = 32805329703228407808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4050020357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4077 + ... + 90092.

It is an arithmetic number, because the mean of its divisors is an integer number (128542050).

Almost surely, 24050020352 is an apocalyptic number.

4050020352 is a gapful number since it is divisible by the number (42) 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 4050020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170018400).

4050020352 is an abundant number, since it is smaller than the sum of its proper divisors (8290016448).

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

4050020352 is an equidigital number, since it uses as much as digits as its factorization.

4050020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94201 (or 94181 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4050020352 is about 63639.7702070018. The cubic root of 4050020352 is about 1593.9905237975.

Adding to 4050020352 its reverse (2530200504), we get a palindrome (6580220856).

The spelling of 4050020352 in words is "four billion, fifty million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 94169 188338 282507 376676 565014 659183 753352 1130028 1318366 1506704 1977549 2260056 2636732 3013408 3955098 4520112 5273464 6026816 7910196 9040224 10546928 12053632 15820392 18080448 21093856 24107264 31640784 36160896 42187712 48214528 63281568 72321792 84375424 96429056 126563136 144643584 168750848 192858112 253126272 289287168 337501696 506252544 578574336 675003392 1012505088 1350006784 2025010176 4050020352