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2046436 = 227253197
BaseRepresentation
bin111110011100111100100
310211222011221
413303213210
51010441221
6111510124
723252200
oct7634744
93758157
102046436
111178577
12828344
13568612
143b3b00
152a6541
hex1f39e4

2046436 has 36 divisors (see below), whose sum is σ = 4266108. Its totient is φ = 856128.

The previous prime is 2046431. The next prime is 2046437. The reversal of 2046436 is 6346402.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 240100 = 1344^2 + 490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2046436.

It is not an unprimeable number, because it can be changed into a prime (2046431) 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 11 ways as a sum of consecutive naturals, for example, 10290 + ... + 10486.

It is an arithmetic number, because the mean of its divisors is an integer number (118503).

22046436 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 2046436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133054).

2046436 is an abundant number, since it is smaller than the sum of its proper divisors (2219672).

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

2046436 is a wasteful number, since it uses less digits than its factorization.

2046436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2046436 is about 1430.5369621230. The cubic root of 2046436 is about 126.9597491639.

The spelling of 2046436 in words is "two million, forty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 197 212 371 394 742 788 1379 1484 2597 2758 5194 5516 9653 10388 10441 19306 20882 38612 41764 73087 146174 292348 511609 1023218 2046436