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4192244 = 227273293
BaseRepresentation
bin1111111111011111110100
321212222200022
433333133310
52033122434
6225504312
750430200
oct17773764
97788608
104192244
112403771
1214a2098
13b3a224
147b1b00
1557c22e
hex3ff7f4

4192244 has 36 divisors (see below), whose sum is σ = 8680644. Its totient is φ = 1766016.

The previous prime is 4192231. The next prime is 4192261. The reversal of 4192244 is 4422914.

4192244 = T1 + T2 + ... + T292.

4192244 is a nontrivial binomial coefficient, being equal to C(294, 3).

It can be written as a sum of positive squares in 2 ways, for example, as 3312400 + 879844 = 1820^2 + 938^2 .

Its product of digits (2304) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is the 292-nd tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14162 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (241129).

Almost surely, 24192244 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 4192244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340322).

4192244 is an abundant number, since it is smaller than the sum of its proper divisors (4488400).

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

4192244 is a wasteful number, since it uses less digits than its factorization.

4192244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 4192244 is about 2047.4970085448. The cubic root of 4192244 is about 161.2434879088.

The spelling of 4192244 in words is "four million, one hundred ninety-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 293 511 586 1022 1172 2044 2051 3577 4102 7154 8204 14308 14357 21389 28714 42778 57428 85556 149723 299446 598892 1048061 2096122 4192244