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415079244 = 2232193412
BaseRepresentation
bin11000101111011…
…001101101001100
31001221001012200100
4120233121231030
51322230013434
6105104331100
713200054366
oct3057315514
91057035610
10415079244
111a33351a8
12b7013a90
1367cc1028
143d1abd36
1526691699
hex18bd9b4c

415079244 has 108 divisors (see below), whose sum is σ = 1135181320. Its totient is φ = 127880640.

The previous prime is 415079239. The next prime is 415079257. The reversal of 415079244 is 442970514.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×4150792442 = 344581557599223072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415079199 and 415079208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10123864 + ... + 10123904.

Almost surely, 2415079244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415079244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567590660).

415079244 is an abundant number, since it is smaller than the sum of its proper divisors (720102076).

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

415079244 is a wasteful number, since it uses less digits than its factorization.

415079244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 415079244 is about 20373.4936621091. The cubic root of 415079244 is about 745.9510661815.

The spelling of 415079244 in words is "four hundred fifteen million, seventy-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 361 369 492 684 722 738 779 1083 1444 1476 1558 1681 2166 2337 3116 3249 3362 4332 4674 5043 6498 6724 6859 7011 9348 10086 12996 13718 14022 14801 15129 20172 20577 27436 28044 29602 30258 31939 41154 44403 59204 60516 61731 63878 82308 88806 95817 123462 127756 133209 177612 191634 246924 266418 281219 287451 383268 532836 562438 574902 606841 843657 1124876 1149804 1213682 1687314 1820523 2427364 2530971 3374628 3641046 5061942 5461569 7282092 10123884 10923138 11529979 21846276 23059958 34589937 46119916 69179874 103769811 138359748 207539622 415079244