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4202020032 = 263716319181
BaseRepresentation
bin1111101001110101…
…1011110011000000
3101211211211201211120
43322131123303000
532101204120112
61532543512240
7206062403160
oct37235336300
911754751746
104202020032
111866a26931
129932b8680
1351c7352b2
142bc1005a0
15198d7ce8c
hexfa75bcc0

4202020032 has 112 divisors (see below), whose sum is σ = 12784726272. Its totient is φ = 1193149440.

The previous prime is 4202020027. The next prime is 4202020037. The reversal of 4202020032 is 2300202024.

It is an interprime number because it is at equal distance from previous prime (4202020027) and next prime (4202020037).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4202019993 and 4202020020.

It is not an unprimeable number, because it can be changed into a prime (4202020037) 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, 209482 + ... + 228662.

Almost surely, 24202020032 is an apocalyptic number.

4202020032 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 4202020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392363136).

4202020032 is an abundant number, since it is smaller than the sum of its proper divisors (8582706240).

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

4202020032 is a wasteful number, since it uses less digits than its factorization.

4202020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19366 (or 19356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4202020032 is about 64822.9899958340. The cubic root of 4202020032 is about 1613.6872694470.

Adding to 4202020032 its reverse (2300202024), we get a palindrome (6502222056).

The spelling of 4202020032 in words is "four billion, two hundred two million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 163 168 192 224 326 336 448 489 652 672 978 1141 1304 1344 1956 2282 2608 3423 3912 4564 5216 6846 7824 9128 10432 13692 15648 18256 19181 27384 31296 36512 38362 54768 57543 73024 76724 109536 115086 134267 153448 219072 230172 268534 306896 402801 460344 537068 613792 805602 920688 1074136 1227584 1611204 1841376 2148272 3126503 3222408 3682752 4296544 6253006 6444816 8593088 9379509 12506012 12889632 18759018 21885521 25012024 25779264 37518036 43771042 50024048 65656563 75036072 87542084 100048096 131313126 150072144 175084168 200096192 262626252 300144288 350168336 525252504 600288576 700336672 1050505008 1400673344 2101010016 4202020032