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2050272 = 25347113
BaseRepresentation
bin111110100100011100000
310212011110000
413310203200
51011102042
6111540000
723266320
oct7644340
93764400
102050272
111180444
1282a600
1356a2a3
143b5280
152a774c
hex1f48e0

2050272 has 120 divisors (see below), whose sum is σ = 6952176. Its totient is φ = 580608.

The previous prime is 2050261. The next prime is 2050273. The reversal of 2050272 is 2720502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18088 + ... + 18200.

22050272 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 2050272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476088).

2050272 is an abundant number, since it is smaller than the sum of its proper divisors (4901904).

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

2050272 is a wasteful number, since it uses less digits than its factorization.

2050272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2050272 is about 1431.8770896973. The cubic root of 2050272 is about 127.0390274170.

Adding to 2050272 its reverse (2720502), we get a palindrome (4770774).

The spelling of 2050272 in words is "two million, fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 113 126 144 162 168 189 216 224 226 252 288 324 336 339 378 432 452 504 567 648 672 678 756 791 864 904 1008 1017 1134 1296 1356 1512 1582 1808 2016 2034 2268 2373 2592 2712 3024 3051 3164 3616 4068 4536 4746 5424 6048 6102 6328 7119 8136 9072 9153 9492 10848 12204 12656 14238 16272 18144 18306 18984 21357 24408 25312 28476 32544 36612 37968 42714 48816 56952 64071 73224 75936 85428 97632 113904 128142 146448 170856 227808 256284 292896 341712 512568 683424 1025136 2050272