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378010157 = 722929173
BaseRepresentation
bin10110100001111…
…111101000101101
3222100021220110012
4112201333220231
51233232311112
6101302023005
712240014300
oct2641775055
9870256405
10378010157
11184416698
12a6717a65
1360412565
14382bcb37
15232bd022
hex1687fa2d

378010157 has 18 divisors (see below), whose sum is σ = 455461578. Its totient is φ = 312801888.

The previous prime is 378010121. The next prime is 378010207. The reversal of 378010157 is 751010873.

It can be written as a sum of positive squares in 3 ways, for example, as 4206601 + 373803556 = 2051^2 + 19334^2 .

It is not a de Polignac number, because 378010157 - 28 = 378009901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378010357) 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 17 ways as a sum of consecutive naturals, for example, 36623 + ... + 45795.

It is an arithmetic number, because the mean of its divisors is an integer number (25303421).

Almost surely, 2378010157 is an apocalyptic number.

It is an amenable number.

378010157 is a deficient number, since it is larger than the sum of its proper divisors (77451421).

378010157 is an equidigital number, since it uses as much as digits as its factorization.

378010157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 378010157 is about 19442.4833033232. The cubic root of 378010157 is about 723.0491553361.

The spelling of 378010157 in words is "three hundred seventy-eight million, ten thousand, one hundred fifty-seven".

Divisors: 1 7 29 49 203 841 1421 5887 9173 41209 64211 266017 449477 1862119 7714493 13034833 54001451 378010157