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2051924 = 227219229
BaseRepresentation
bin111110100111101010100
310212020201012
413310331110
51011130144
6111551352
723304200
oct7647524
93766635
102051924
111181706
1282b558
1356ac74
143b5b00
152a7e9e
hex1f4f54

2051924 has 54 divisors (see below), whose sum is σ = 4560570. Its totient is φ = 804384.

The previous prime is 2051923. The next prime is 2051947. The reversal of 2051924 is 4291502.

It can be written as a sum of positive squares in only one way, i.e., 1768900 + 283024 = 1330^2 + 532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2051924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051923) 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 17 ways as a sum of consecutive naturals, for example, 70742 + ... + 70770.

It is an arithmetic number, because the mean of its divisors is an integer number (84455).

22051924 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 2051924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280285).

2051924 is an abundant number, since it is smaller than the sum of its proper divisors (2508646).

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

2051924 is a wasteful number, since it uses less digits than its factorization.

2051924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2051924 is about 1432.4538386978. The cubic root of 2051924 is about 127.0731386847.

The spelling of 2051924 in words is "two million, fifty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 29 38 49 58 76 98 116 133 196 203 266 361 406 532 551 722 812 931 1102 1421 1444 1862 2204 2527 2842 3724 3857 5054 5684 7714 10108 10469 15428 17689 20938 26999 35378 41876 53998 70756 73283 107996 146566 293132 512981 1025962 2051924