Search a number
-
+
415397696 = 2673127149
BaseRepresentation
bin11000110000100…
…111011101000000
31001221122101111212
4120300213131000
51322320211241
6105115225252
713202552000
oct3060473500
91057571455
10415397696
111a353248a
12b7148228
13680a2c6c
143d252000
1526705beb
hex18c27740

415397696 has 112 divisors (see below), whose sum is σ = 975360000. Its totient is φ = 175440384.

The previous prime is 415397693. The next prime is 415397707. The reversal of 415397696 is 696793514.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415397693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2787830 + ... + 2787978.

Almost surely, 2415397696 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 415397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680000).

415397696 is an abundant number, since it is smaller than the sum of its proper divisors (559962304).

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

415397696 is a wasteful number, since it uses less digits than its factorization.

415397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 50.

The square root of 415397696 is about 20381.3075144849. The cubic root of 415397696 is about 746.1417838884.

The spelling of 415397696 in words is "four hundred fifteen million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 127 149 196 224 254 298 343 392 448 508 596 686 784 889 1016 1043 1192 1372 1568 1778 2032 2086 2384 2744 3136 3556 4064 4172 4768 5488 6223 7112 7301 8128 8344 9536 10976 12446 14224 14602 16688 18923 21952 24892 28448 29204 33376 37846 43561 49784 51107 56896 58408 66752 75692 87122 99568 102214 116816 132461 151384 174244 199136 204428 233632 264922 302768 348488 398272 408856 467264 529844 605536 696976 817712 927227 1059688 1211072 1393952 1635424 1854454 2119376 2787904 3270848 3708908 4238752 6490589 7417816 8477504 12981178 14835632 25962356 29671264 51924712 59342528 103849424 207698848 415397696