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164872848 = 2437270099
BaseRepresentation
bin10011101001111…
…00001010010000
3102111020102000210
421310330022100
5314201412343
624205444120
74041252600
oct1164741220
9374212023
10164872848
1185080458
1247270640
13282086ca
1417c7ac00
15e71b333
hex9d3c290

164872848 has 60 divisors (see below), whose sum is σ = 495466800. Its totient is φ = 47105856.

The previous prime is 164872847. The next prime is 164872853. The reversal of 164872848 is 848278461.

It is a super-2 number, since 2×1648728482 = 54366112015262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164872797 and 164872806.

It is not an unprimeable number, because it can be changed into a prime (164872843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32698 + ... + 37401.

It is an arithmetic number, because the mean of its divisors is an integer number (8257780).

Almost surely, 2164872848 is an apocalyptic number.

It is an amenable number.

164872848 is an abundant number, since it is smaller than the sum of its proper divisors (330593952).

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

164872848 is a wasteful number, since it uses less digits than its factorization.

164872848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70124 (or 70111 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 164872848 is about 12840.2822398887. The cubic root of 164872848 is about 548.3397293153.

The spelling of 164872848 in words is "one hundred sixty-four million, eight hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 70099 140198 210297 280396 420594 490693 560792 841188 981386 1121584 1472079 1682376 1962772 2944158 3364752 3434851 3925544 5888316 6869702 7851088 10304553 11776632 13739404 20609106 23553264 27478808 41218212 54957616 82436424 164872848