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164708838 = 23277916547
BaseRepresentation
bin10011101000101…
…00000111100110
3102110221002001100
421310110013212
5314131140323
624202140530
74040000460
oct1164240746
9373832040
10164708838
1184a79208
12471b1746
132817bb68
1417c37130
15e6d7943
hex9d141e6

164708838 has 48 divisors (see below), whose sum is σ = 413038080. Its totient is φ = 46461168.

The previous prime is 164708807. The next prime is 164708851. The reversal of 164708838 is 838807461.

It is a junction number, because it is equal to n+sod(n) for n = 164708793 and 164708802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (8604960).

Almost surely, 2164708838 is an apocalyptic number.

164708838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164708838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206519040).

164708838 is an abundant number, since it is smaller than the sum of its proper divisors (248329242).

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

164708838 is a wasteful number, since it uses less digits than its factorization.

164708838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16641 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 164708838 is about 12833.8941089601. The cubic root of 164708838 is about 548.1578456446.

The spelling of 164708838 in words is "one hundred sixty-four million, seven hundred eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 16547 33094 49641 99282 115829 148923 231658 297846 347487 694974 1042461 1307213 2084922 2614426 3921639 7843278 9150491 11764917 18300982 23529834 27451473 54902946 82354419 164708838