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415124112 = 243135091307
BaseRepresentation
bin11000101111100…
…100101010010000
31001221010111020010
4120233210222100
51322232432422
6105105314520
713200332244
oct3057445220
91057114203
10415124112
111a3365987
12b7035a40
1368008590
143d1c0424
152669eb0c
hex18be4a90

415124112 has 80 divisors (see below), whose sum is σ = 1158050880. Its totient is φ = 127382016.

The previous prime is 415124077. The next prime is 415124147. The reversal of 415124112 is 211421514.

It is an interprime number because it is at equal distance from previous prime (415124077) and next prime (415124147).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316963 + ... + 318269.

It is an arithmetic number, because the mean of its divisors is an integer number (14475636).

Almost surely, 2415124112 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 415124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579025440).

415124112 is an abundant number, since it is smaller than the sum of its proper divisors (742926768).

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

415124112 is a wasteful number, since it uses less digits than its factorization.

415124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1834 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 415124112 is about 20374.5947689764. The cubic root of 415124112 is about 745.9779430787.

Adding to 415124112 its reverse (211421514), we get a palindrome (626545626).

The spelling of 415124112 in words is "four hundred fifteen million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 509 624 1018 1307 1527 2036 2614 3054 3921 4072 5228 6108 6617 7842 8144 10456 12216 13234 15684 16991 19851 20912 24432 26468 31368 33982 39702 50973 52936 62736 67964 79404 101946 105872 135928 158808 203892 271856 317616 407784 665263 815568 1330526 1995789 2661052 3991578 5322104 7983156 8648419 10644208 15966312 17296838 25945257 31932624 34593676 51890514 69187352 103781028 138374704 207562056 415124112