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412601416 = 2319231071103
BaseRepresentation
bin11000100101111…
…100110001001000
31001202101022201221
4120211330301020
51321111221131
6104535251424
713140024403
oct3045746110
91052338657
10412601416
111a19a2607
12b6219b74
1367634266
143cb24d3a
1526352411
hex1897cc48

412601416 has 64 divisors (see below), whose sum is σ = 858470400. Its totient is φ = 185030208.

The previous prime is 412601401. The next prime is 412601459. The reversal of 412601416 is 614106214.

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, 373521 + ... + 374623.

It is an arithmetic number, because the mean of its divisors is an integer number (13413600).

Almost surely, 2412601416 is an apocalyptic number.

412601416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

412601416 is an abundant number, since it is smaller than the sum of its proper divisors (445868984).

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

412601416 is a wasteful number, since it uses less digits than its factorization.

412601416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 412601416 is about 20312.5925474815. The cubic root of 412601416 is about 744.4637770150.

The spelling of 412601416 in words is "four hundred twelve million, six hundred one thousand, four hundred sixteen".

Divisors: 1 2 4 8 19 23 38 46 76 92 107 152 184 214 428 437 856 874 1103 1748 2033 2206 2461 3496 4066 4412 4922 8132 8824 9844 16264 19688 20957 25369 41914 46759 50738 83828 93518 101476 118021 167656 187036 202952 236042 374072 472084 482011 944168 964022 1928044 2242399 2714483 3856088 4484798 5428966 8969596 10857932 17939192 21715864 51575177 103150354 206300708 412601416