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2045376 = 26325367
BaseRepresentation
bin111110011010111000000
310211220201200
413303113000
51010423001
6111501200
723246124
oct7632700
93756650
102045376
1111777a3
12827800
13567ca8
143b3584
152a6086
hex1f35c0

2045376 has 84 divisors (see below), whose sum is σ = 6062472. Its totient is φ = 658944.

The previous prime is 2045371. The next prime is 2045377. The reversal of 2045376 is 6735402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30495 + ... + 30561.

22045376 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 2045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031236).

2045376 is an abundant number, since it is smaller than the sum of its proper divisors (4017096).

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

2045376 is a wasteful number, since it uses less digits than its factorization.

2045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2045376 is about 1430.1664238822. The cubic root of 2045376 is about 126.9378247750.

The spelling of 2045376 in words is "two million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 67 72 96 106 134 144 159 192 201 212 268 288 318 402 424 477 536 576 603 636 804 848 954 1072 1206 1272 1608 1696 1908 2144 2412 2544 3216 3392 3551 3816 4288 4824 5088 6432 7102 7632 9648 10176 10653 12864 14204 15264 19296 21306 28408 30528 31959 38592 42612 56816 63918 85224 113632 127836 170448 227264 255672 340896 511344 681792 1022688 2045376