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4104412830 = 233574152967
BaseRepresentation
bin1111010010100100…
…0101111010011110
3101121001011202221000
43310221011322132
531401212202310
61515135451130
7203465635110
oct36451057236
911531152830
104104412830
11181691a121
12966686aa6
1350544b95b
142ad1733b0
151904ec4c0
hexf4a45e9e

4104412830 has 128 divisors (see below), whose sum is σ = 12814018560. Its totient is φ = 915252480.

The previous prime is 4104412817. The next prime is 4104412841. The reversal of 4104412830 is 382144014.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4104412794 and 4104412803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51007 + ... + 103973.

It is an arithmetic number, because the mean of its divisors is an integer number (100109520).

Almost surely, 24104412830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104412830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407009280).

4104412830 is an abundant number, since it is smaller than the sum of its proper divisors (8709605730).

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

4104412830 is a wasteful number, since it uses less digits than its factorization.

4104412830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53031 (or 53025 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4104412830 is about 64065.6915205010. The cubic root of 4104412830 is about 1601.0946714611.

Adding to 4104412830 its reverse (382144014), we get a palindrome (4486556844).

The spelling of 4104412830 in words is "four billion, one hundred four million, four hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12915 15498 25830 38745 52967 77490 105934 158901 264835 317802 370769 476703 529670 741538 794505 953406 1112307 1430109 1589010 1853845 2171647 2224614 2383515 2860218 3336921 3707690 4343294 4767030 5561535 6514941 6673842 7150545 10010763 10858235 11123070 13029882 14301090 15201529 16684605 19544823 20021526 21716470 30403058 32574705 33369210 39089646 45604587 50053815 58634469 65149410 76007645 91209174 97724115 100107630 117268938 136813761 152015290 195448230 228022935 273627522 293172345 410441283 456045870 586344690 684068805 820882566 1368137610 2052206415 4104412830