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412380192 = 2537613661
BaseRepresentation
bin11000100101000…
…110110000100000
31001201222002021110
4120211012300200
51321032131232
6104530423320
713135113420
oct3045066040
91051862243
10412380192
111a1861384
12b6131b40
1367587663
143caa8480
152630bacc
hex18946c20

412380192 has 48 divisors (see below), whose sum is σ = 1237142592. Its totient is φ = 117822720.

The previous prime is 412380187. The next prime is 412380193. The reversal of 412380192 is 291083214.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (412380193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306159 + ... + 307502.

It is an arithmetic number, because the mean of its divisors is an integer number (25773804).

Almost surely, 2412380192 is an apocalyptic number.

412380192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

412380192 is an abundant number, since it is smaller than the sum of its proper divisors (824762400).

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

412380192 is a wasteful number, since it uses less digits than its factorization.

412380192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613681 (or 613673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 412380192 is about 20307.1463283249. The cubic root of 412380192 is about 744.3307004820.

The spelling of 412380192 in words is "four hundred twelve million, three hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 613661 1227322 1840983 2454644 3681966 4295627 4909288 7363932 8591254 9818576 12886881 14727864 17182508 19637152 25773762 29455728 34365016 51547524 58911456 68730032 103095048 137460064 206190096 412380192