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164752419 = 3136736277
BaseRepresentation
bin10011101000111…
…10110000100011
3102111000021211110
421310132300203
5314134034134
624203114403
74040241516
oct1164366043
9374007743
10164752419
1184aa8a27
1247212a03
1328195950
1417c48d7d
15e6e57e9
hex9d1ec23

164752419 has 16 divisors (see below), whose sum is σ = 236956832. Its totient is φ = 101219328.

The previous prime is 164752417. The next prime is 164752481. The reversal of 164752419 is 914257461.

164752419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164752419 - 21 = 164752417 is a prime.

It is a super-2 number, since 2×1647524192 = 54286719132703122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164752411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23109 + ... + 29385.

It is an arithmetic number, because the mean of its divisors is an integer number (14809802).

Almost surely, 2164752419 is an apocalyptic number.

164752419 is a deficient number, since it is larger than the sum of its proper divisors (72204413).

164752419 is a wasteful number, since it uses less digits than its factorization.

164752419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966.

The product of its digits is 60480, while the sum is 39.

The square root of 164752419 is about 12835.5918835089. The cubic root of 164752419 is about 548.2061878398.

The spelling of 164752419 in words is "one hundred sixty-four million, seven hundred fifty-two thousand, four hundred nineteen".

Divisors: 1 3 13 39 673 2019 6277 8749 18831 26247 81601 244803 4224421 12673263 54917473 164752419