Search a number
-
+
1952244 = 2232761127
BaseRepresentation
bin111011100100111110100
310200011222100
413130213310
5444432434
6105502100
722410450
oct7344764
93604870
101952244
111113828
127a1930
13534798
1438b660
15288699
hex1dc9f4

1952244 has 72 divisors (see below), whose sum is σ = 5777408. Its totient is φ = 544320.

The previous prime is 1952227. The next prime is 1952257. The reversal of 1952244 is 4422591.

It is a super-2 number, since 2×19522442 = 7622513271072, which contains 22 as substring.

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, 15309 + ... + 15435.

21952244 is an apocalyptic number.

1952244 is a gapful number since it is divisible by the number (14) 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 1952244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888704).

1952244 is an abundant number, since it is smaller than the sum of its proper divisors (3825164).

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

1952244 is a wasteful number, since it uses less digits than its factorization.

1952244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1952244 is about 1397.2272542432. The cubic root of 1952244 is about 124.9812025067.

It can be divided in two parts, 195 and 2244, that multiplied together give a triangular number (437580 = T935).

The spelling of 1952244 in words is "one million, nine hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 127 183 244 252 254 366 381 427 508 549 732 762 854 889 1098 1143 1281 1524 1708 1778 2196 2286 2562 2667 3556 3843 4572 5124 5334 7686 7747 8001 10668 15372 15494 16002 23241 30988 32004 46482 54229 69723 92964 108458 139446 162687 216916 278892 325374 488061 650748 976122 1952244