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52214040 = 23325433373
BaseRepresentation
bin1100011100101…
…1100100011000
310122020202012100
43013023210120
5101331322130
65103043400
71202545344
oct307134430
9118222170
1052214040
11275231aa
12155a0560
13aa820a8
146d12624
1548b5c60
hex31cb918

52214040 has 96 divisors (see below), whose sum is σ = 173693520. Its totient is φ = 13595904.

The previous prime is 52214017. The next prime is 52214047. The reversal of 52214040 is 4041225.

52214040 is a `hidden beast` number, since 522 + 140 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52214047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13794 + ... + 17166.

Almost surely, 252214040 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 52214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86846760).

52214040 is an abundant number, since it is smaller than the sum of its proper divisors (121479480).

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

52214040 is a wasteful number, since it uses less digits than its factorization.

52214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52214040 is about 7225.9283140646. The cubic root of 52214040 is about 373.7625343015.

Adding to 52214040 its reverse (4041225), we get a palindrome (56255265).

It can be divided in two parts, 5221 and 4040, that added together give a cube (9261 = 213).

The spelling of 52214040 in words is "fifty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3373 3870 5160 6746 7740 10119 13492 15480 16865 20238 26984 30357 33730 40476 50595 60714 67460 80952 101190 121428 134920 145039 151785 202380 242856 290078 303570 404760 435117 580156 607140 725195 870234 1160312 1214280 1305351 1450390 1740468 2175585 2610702 2900780 3480936 4351170 5221404 5801560 6526755 8702340 10442808 13053510 17404680 26107020 52214040