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3985229120 = 26535292
BaseRepresentation
bin1110110110001001…
…1100010101000000
3101021201220121121112
43231202130111000
531130204312440
61455241142452
7200520613535
oct35542342500
911251817545
103985229120
111765615694
1293278aa28
134b684c452
1429b3cad8c
15184d08965
hexed89c540

3985229120 has 42 divisors (see below), whose sum is σ = 9492516702. Its totient is φ = 1593639936.

The previous prime is 3985229111. The next prime is 3985229137. The reversal of 3985229120 is 219225893.

It can be written as a sum of positive squares in 3 ways, for example, as 92467456 + 3892761664 = 9616^2 + 62392^2 .

It is a super-2 number, since 2×39852291202 = 31764102277791948800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1127516 + ... + 1131044.

Almost surely, 23985229120 is an apocalyptic number.

It is an amenable number.

3985229120 is an abundant number, since it is smaller than the sum of its proper divisors (5507287582).

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

3985229120 is an frugal number, since it uses more digits than its factorization.

3985229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 3985229120 is about 63128.6711407741. The cubic root of 3985229120 is about 1585.4446993635. Note that the first 3 decimals are identical.

The spelling of 3985229120 in words is "three billion, nine hundred eighty-five million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3529 7058 14116 17645 28232 35290 56464 70580 112928 141160 225856 282320 564640 1129280 12453841 24907682 49815364 62269205 99630728 124538410 199261456 249076820 398522912 498153640 797045824 996307280 1992614560 3985229120