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164972440 = 23519217069
BaseRepresentation
bin10011101010101…
…00011110011000
3102111102110122101
421311110132120
5314213104230
624211533144
74042146133
oct1165243630
9374373571
10164972440
1185139266
12472ba1b4
1328241b39
1417ca521a
15e73aaca
hex9d54798

164972440 has 32 divisors (see below), whose sum is σ = 390726000. Its totient is φ = 62515584.

The previous prime is 164972419. The next prime is 164972443. The reversal of 164972440 is 44279461.

It is a happy number.

164972440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164972440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164972443) 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, 107775 + ... + 109294.

Almost surely, 2164972440 is an apocalyptic number.

164972440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164972440 is an abundant number, since it is smaller than the sum of its proper divisors (225753560).

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

164972440 is a wasteful number, since it uses less digits than its factorization.

164972440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217099 (or 217095 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 164972440 is about 12844.1597623200. The cubic root of 164972440 is about 548.4501159129.

The spelling of 164972440 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 217069 434138 868276 1085345 1736552 2170690 4124311 4341380 8248622 8682760 16497244 20621555 32994488 41243110 82486220 164972440