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382407568242 = 237191606329833
BaseRepresentation
bin1011001000010010100…
…01000110101101110010
31100120001122022020111020
411210021101012231302
522231132314140432
6451401533200310
736425262461340
oct5441121065562
91316048266436
10382407568242
111381a6114aa7
1262143630096
132a0a399c0cb
141471994a990
159e321eb22c
hex5909446b72

382407568242 has 64 divisors (see below), whose sum is σ = 920166481920. Its totient is φ = 103498902144.

The previous prime is 382407568241. The next prime is 382407568243. The reversal of 382407568242 is 242865704283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382407568241) and next prime (382407568243).

It is not an unprimeable number, because it can be changed into a prime (382407568241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12803358 + ... + 12833190.

It is an arithmetic number, because the mean of its divisors is an integer number (14377601280).

Almost surely, 2382407568242 is an apocalyptic number.

382407568242 is an abundant number, since it is smaller than the sum of its proper divisors (537758913678).

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

382407568242 is a wasteful number, since it uses less digits than its factorization.

382407568242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45927.

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 382407568242 in words is "three hundred eighty-two billion, four hundred seven million, five hundred sixty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 16063 29833 32126 48189 59666 89499 96378 112441 178998 208831 224882 305197 337323 417662 566827 610394 626493 674646 915591 1133654 1252986 1700481 1831182 2136379 3400962 3967789 4272758 6409137 7935578 11903367 12818274 23806734 479207479 958414958 1437622437 2875244874 3354452353 6708904706 9104942101 10063357059 18209884202 20126714118 27314826303 54629652606 63734594707 127469189414 191203784121 382407568242