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4194372 = 22371323167
BaseRepresentation
bin10000000000000001000100
321220002121010
4100000001010
52033204442
6225522220
750436330
oct20000104
97802533
104194372
112405326
1214a3370
13b3b1a0
147b27c0
1557cb9c
hex400044

4194372 has 96 divisors (see below), whose sum is σ = 12644352. Its totient is φ = 1051776.

The previous prime is 4194371. The next prime is 4194389. The reversal of 4194372 is 2734914.

It is a happy number.

It is a d-powerful number, because it can be written as 42 + 1 + 9 + 411 + 3 + 7 + 25 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25033 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (131712).

Almost surely, 24194372 is an apocalyptic number.

4194372 is a gapful number since it is divisible by the number (42) 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 4194372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322176).

4194372 is an abundant number, since it is smaller than the sum of its proper divisors (8449980).

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

4194372 is a wasteful number, since it uses less digits than its factorization.

4194372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 4194372 is about 2048.0166014952. The cubic root of 4194372 is about 161.2707659093.

It can be divided in two parts, 4 and 194372, that added together give a triangular number (194376 = T623).

The spelling of 4194372 in words is "four million, one hundred ninety-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 167 182 273 276 299 322 334 364 483 501 546 598 644 668 897 966 1002 1092 1169 1196 1794 1932 2004 2093 2171 2338 3507 3588 3841 4186 4342 4676 6279 6513 7014 7682 8372 8684 11523 12558 13026 14028 15197 15364 23046 25116 26052 26887 30394 45591 46092 49933 53774 60788 80661 91182 99866 107548 149799 161322 182364 199732 299598 322644 349531 599196 699062 1048593 1398124 2097186 4194372