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2053944 = 233337257
BaseRepresentation
bin111110101011100111000
310212100111000
413311130320
51011211234
6112005000
723313114
oct7653470
93770430
102053944
111183182
12830760
1356bb69
143b6744
152a8899
hex1f5738

2053944 has 64 divisors (see below), whose sum is σ = 5882400. Its totient is φ = 663552.

The previous prime is 2053943. The next prime is 2053951. The reversal of 2053944 is 4493502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7864 + ... + 8120.

22053944 is an apocalyptic number.

2053944 is a gapful number since it is divisible by the number (24) 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 2053944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941200).

2053944 is an abundant number, since it is smaller than the sum of its proper divisors (3828456).

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

2053944 is a wasteful number, since it uses less digits than its factorization.

2053944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2053944 is about 1433.1587490575. The cubic root of 2053944 is about 127.1148237171.

The spelling of 2053944 in words is "two million, fifty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 257 296 333 444 514 666 771 888 999 1028 1332 1542 1998 2056 2313 2664 3084 3996 4626 6168 6939 7992 9252 9509 13878 18504 19018 27756 28527 38036 55512 57054 76072 85581 114108 171162 228216 256743 342324 513486 684648 1026972 2053944