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2052633636 = 22368392
BaseRepresentation
bin111101001011000…
…1011010000100100
312022001101121000000
41322112023100210
513200433234021
6535403021300
7101603045424
oct17226132044
95261347000
102052633636
11963727039
1249350a830
13269345421
1415687a484
15c030cb26
hex7a58b424

2052633636 has 63 divisors (see below), whose sum is σ = 5392126411. Its totient is φ = 683395704.

The previous prime is 2052633623. The next prime is 2052633697. The reversal of 2052633636 is 6363362502.

The square root of 2052633636 is 45306.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2052633636.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2446105 + ... + 2446943.

Almost surely, 22052633636 is an apocalyptic number.

2052633636 is the 45306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052633636

2052633636 is an abundant number, since it is smaller than the sum of its proper divisors (3339492775).

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

2052633636 is an frugal number, since it uses more digits than its factorization.

2052633636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The cubic root of 2052633636 is about 1270.8778595893.

Multiplying 2052633636 by its sum of digits (36), we get a square (73894810896 = 2718362).

2052633636 divided by its sum of digits (36) gives a square (57017601 = 75512).

The spelling of 2052633636 in words is "two billion, fifty-two million, six hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 839 972 1458 1678 2517 2916 3356 5034 7551 10068 15102 22653 30204 45306 67959 90612 135918 203877 271836 407754 611631 703921 815508 1223262 1407842 2111763 2446524 2815684 4223526 6335289 8447052 12670578 19005867 25341156 38011734 57017601 76023468 114035202 171052803 228070404 342105606 513158409 684211212 1026316818 2052633636