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2053435374 = 234191793727
BaseRepresentation
bin111101001100100…
…1110111111101110
312022002220022210000
41322121032333232
513201134412444
6535432125130
7101612625024
oct17231167756
95262808700
102053435374
11964124431
124938367a6
13269566323
14156a08714
15c041a469
hex7a64efee

2053435374 has 80 divisors (see below), whose sum is σ = 4871750400. Its totient is φ = 644657616.

The previous prime is 2053435367. The next prime is 2053435379. The reversal of 2053435374 is 4735343502.

2053435374 is a `hidden beast` number, since 2 + 0 + 534 + 3 + 53 + 74 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053435379) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549099 + ... + 552825.

It is an arithmetic number, because the mean of its divisors is an integer number (60896880).

Almost surely, 22053435374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053435374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435875200).

2053435374 is an abundant number, since it is smaller than the sum of its proper divisors (2818315026).

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

2053435374 is a wasteful number, since it uses less digits than its factorization.

With its successor (2053435375) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3930).

With its successor (2053435375) it forms an eRAP, since the sums of their prime factors are consecutive (3939 and 3940).

2053435374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 2053435374 is about 45314.8471695536. The cubic root of 2053435374 is about 1271.0433020767.

Adding to 2053435374 its reverse (4735343502), we get a palindrome (6788778876).

The spelling of 2053435374 in words is "two billion, fifty-three million, four hundred thirty-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 179 342 358 513 537 1026 1074 1539 1611 3078 3222 3401 3727 4833 6802 7454 9666 10203 11181 14499 20406 22362 28998 30609 33543 61218 67086 70813 91827 100629 141626 183654 201258 212439 275481 301887 424878 550962 603774 637317 667133 1274634 1334266 1911951 2001399 3823902 4002798 5735853 6004197 11471706 12008394 12675527 18012591 25351054 36025182 38026581 54037773 76053162 108075546 114079743 228159486 342239229 684478458 1026717687 2053435374