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164628372 = 22349127941
BaseRepresentation
bin10011101000000…
…00011110010100
3102110202222200010
421310000132110
5314121101442
624200320220
74036214046
oct1164003624
9373688603
10164628372
1184a23807
1247173070
132815134c
1417c15a96
15e6bdb9c
hex9d00794

164628372 has 24 divisors (see below), whose sum is σ = 384928992. Its totient is φ = 54762400.

The previous prime is 164628367. The next prime is 164628377. The reversal of 164628372 is 273826461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164628367) and next prime (164628377).

It is a self number, because there is not a number n which added to its sum of digits gives 164628372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164628377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8079 + ... + 19862.

It is an arithmetic number, because the mean of its divisors is an integer number (16038708).

Almost surely, 2164628372 is an apocalyptic number.

164628372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164628372 is an abundant number, since it is smaller than the sum of its proper divisors (220300620).

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

164628372 is a wasteful number, since it uses less digits than its factorization.

164628372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28439 (or 28437 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 164628372 is about 12830.7588240135. The cubic root of 164628372 is about 548.0685663757.

The spelling of 164628372 in words is "one hundred sixty-four million, six hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 491 982 1473 1964 2946 5892 27941 55882 83823 111764 167646 335292 13719031 27438062 41157093 54876124 82314186 164628372