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2053444410 = 232541975737
BaseRepresentation
bin111101001100101…
…0001001100111010
312022002220210011200
41322121101030322
513201140210120
6535432235030
7101612663253
oct17231211472
95262823150
102053444410
119641301a6
1249383ba76
1326956a484
14156a0bb2a
15c041ce90
hex7a65133a

2053444410 has 96 divisors (see below), whose sum is σ = 5526520272. Its totient is φ = 528629760.

The previous prime is 2053444391. The next prime is 2053444411. The reversal of 2053444410 is 144443502.

It is a happy number.

2053444410 is a `hidden beast` number, since 205 + 3 + 4 + 44 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7601049 + 2045843361 = 2757^2 + 45231^2 .

It is not an unprimeable number, because it can be changed into a prime (2053444411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355062 + ... + 360798.

Almost surely, 22053444410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053444410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763260136).

2053444410 is an abundant number, since it is smaller than the sum of its proper divisors (3473075862).

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

2053444410 is a wasteful number, since it uses less digits than its factorization.

2053444410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2053444410 is about 45314.9468718656. The cubic root of 2053444410 is about 1271.0451664533.

Adding to 2053444410 its reverse (144443502), we get a palindrome (2197887912).

The spelling of 2053444410 in words is "two billion, fifty-three million, four hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 97 123 194 205 246 291 369 410 485 582 615 738 873 970 1230 1455 1746 1845 2910 3690 3977 4365 5737 7954 8730 11474 11931 17211 19885 23862 28685 34422 35793 39770 51633 57370 59655 71586 86055 103266 119310 172110 178965 235217 258165 357930 470434 516330 556489 705651 1112978 1176085 1411302 1669467 2116953 2352170 2782445 3338934 3528255 4233906 5008401 5564890 7056510 8347335 10016802 10584765 16694670 21169530 22816049 25042005 45632098 50084010 68448147 114080245 136896294 205344441 228160490 342240735 410688882 684481470 1026722205 2053444410