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166472416 = 2511617753
BaseRepresentation
bin10011110110000…
…10101011100000
3102121020200020001
421323002223200
5320104104131
624304025344
74060664215
oct1173025340
9377220201
10166472416
1185a73210
1247902254
13286487b6
1418175b0c
15e935261
hex9ec2ae0

166472416 has 48 divisors (see below), whose sum is σ = 363445488. Its totient is φ = 74419200.

The previous prime is 166472401. The next prime is 166472429. The reversal of 166472416 is 614274661.

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 7 ways as a sum of consecutive naturals, for example, 17596 + ... + 25348.

It is an arithmetic number, because the mean of its divisors is an integer number (7571781).

Almost surely, 2166472416 is an apocalyptic number.

166472416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181722744).

166472416 is an abundant number, since it is smaller than the sum of its proper divisors (196973072).

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

166472416 is a wasteful number, since it uses less digits than its factorization.

166472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7827 counting only the distinct ones).

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

The square root of 166472416 is about 12902.4189980019. The cubic root of 166472416 is about 550.1073245104.

The spelling of 166472416 in words is "one hundred sixty-six million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 7753 10736 15506 21472 31012 62024 85283 124048 170566 248096 341132 472933 682264 945866 1364528 1891732 2729056 3783464 5202263 7566928 10404526 15133856 20809052 41618104 83236208 166472416