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415069056 = 2733831447
BaseRepresentation
bin11000101111010…
…111001110000000
31001221000200201000
4120233113032000
51322224202211
6105104212000
713200012603
oct3057271600
91057020630
10415069056
111a3328586
12b700a000
1367cb94bc
143d1a833a
152668d656
hex18bd7380

415069056 has 128 divisors (see below), whose sum is σ = 1240646400. Its totient is φ = 136594944.

The previous prime is 415069027. The next prime is 415069073. The reversal of 415069056 is 650960514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4150690562 = 344564642497462272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 415069056.

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, 286125 + ... + 287571.

It is an arithmetic number, because the mean of its divisors is an integer number (9692550).

Almost surely, 2415069056 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 415069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620323200).

415069056 is an abundant number, since it is smaller than the sum of its proper divisors (825577344).

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

415069056 is a wasteful number, since it uses less digits than its factorization.

415069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 415069056 is about 20373.2436298200. The cubic root of 415069056 is about 745.9449630805.

The spelling of 415069056 in words is "four hundred fifteen million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1447 1494 1728 1992 2241 2656 2894 2988 3456 3984 4341 4482 5312 5788 5976 7968 8682 8964 10624 11576 11952 13023 15936 17364 17928 23152 23904 26046 31872 34728 35856 39069 46304 47808 52092 69456 71712 78138 92608 95616 104184 120101 138912 143424 156276 185216 208368 240202 277824 286848 312552 360303 416736 480404 555648 625104 720606 833472 960808 1080909 1250208 1441212 1666944 1921616 2161818 2500416 2882424 3242727 3843232 4323636 5000832 5764848 6485454 7686464 8647272 11529696 12970908 15372928 17294544 23059392 25941816 34589088 46118784 51883632 69178176 103767264 138356352 207534528 415069056