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4200411828 = 2233743220009
BaseRepresentation
bin1111101001011101…
…0011001010110100
3101211201211000210110
43322113103022310
532100301134303
61532445223020
7206042624424
oct37227231264
911751730713
104200411828
111866028638
12992861a70
1351c2c12b2
142bbc02484
15198b61703
hexfa5d32b4

4200411828 has 48 divisors (see below), whose sum is σ = 10299988160. Its totient is φ = 1330608384.

The previous prime is 4200411781. The next prime is 4200411851. The reversal of 4200411828 is 8281140024.

It is a junction number, because it is equal to n+sod(n) for n = 4200411795 and 4200411804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90913 + ... + 129096.

Almost surely, 24200411828 is an apocalyptic number.

It is an amenable number.

4200411828 is an abundant number, since it is smaller than the sum of its proper divisors (6099576332).

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

4200411828 is a wasteful number, since it uses less digits than its factorization.

4200411828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220096 (or 220094 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4200411828 is about 64810.5842281953. The cubic root of 4200411828 is about 1613.4813788322.

The spelling of 4200411828 in words is "four billion, two hundred million, four hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 37 43 74 86 111 129 148 172 222 258 444 516 1591 3182 4773 6364 9546 19092 220009 440018 660027 880036 1320054 2640108 8140333 9460387 16280666 18920774 24420999 28381161 32561332 37841548 48841998 56762322 97683996 113524644 350034319 700068638 1050102957 1400137276 2100205914 4200411828