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166414448 = 2431279137
BaseRepresentation
bin10011110101101…
…00100001110000
3102121010201201002
421322310201300
5320100230243
624302501132
74060333214
oct1172644160
9377121632
10166414448
1185a33702
12478947a8
13286282b5
141815c944
15e922eb8
hex9eb4870

166414448 has 60 divisors (see below), whose sum is σ = 339844320. Its totient is φ = 78923520.

The previous prime is 166414433. The next prime is 166414463. The reversal of 166414448 is 844414661.

It is an interprime number because it is at equal distance from previous prime (166414433) and next prime (166414463).

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 11 ways as a sum of consecutive naturals, for example, 1214636 + ... + 1214772.

It is an arithmetic number, because the mean of its divisors is an integer number (5664072).

Almost surely, 2166414448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169922160).

166414448 is an abundant number, since it is smaller than the sum of its proper divisors (173429872).

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

166414448 is a wasteful number, since it uses less digits than its factorization.

166414448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 249 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 166414448 is about 12900.1724019487. The cubic root of 166414448 is about 550.0434654354.

The spelling of 166414448 in words is "one hundred sixty-six million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 79 124 137 158 248 274 316 496 548 632 961 1096 1264 1922 2192 2449 3844 4247 4898 7688 8494 9796 10823 15376 16988 19592 21646 33976 39184 43292 67952 75919 86584 131657 151838 173168 263314 303676 335513 526628 607352 671026 1053256 1214704 1342052 2106512 2684104 5368208 10400903 20801806 41603612 83207224 166414448