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53904040 = 23529311499
BaseRepresentation
bin1100110110100…
…0001010101000
310202102121102221
43031220022220
5102244412130
65203203424
71223114431
oct315501250
9122377387
1053904040
11284779a3
1216076574
13b2243a8
147232488
154aeb87a
hex33682a8

53904040 has 64 divisors (see below), whose sum is σ = 129600000. Its totient is φ = 20133120.

The previous prime is 53904029. The next prime is 53904043. The reversal of 53904040 is 4040935.

It is a junction number, because it is equal to n+sod(n) for n = 53903996 and 53904014.

It is not an unprimeable number, because it can be changed into a prime (53904043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35211 + ... + 36709.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 253904040 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 53904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800000).

53904040 is an abundant number, since it is smaller than the sum of its proper divisors (75695960).

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

53904040 is a wasteful number, since it uses less digits than its factorization.

53904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 53904040 is about 7341.9370740970. The cubic root of 53904040 is about 377.7522895786.

Adding to 53904040 its reverse (4040935), we get a palindrome (57944975).

The spelling of 53904040 in words is "fifty-three million, nine hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1499 1798 2998 3596 4495 5996 7192 7495 8990 11992 14990 17980 29980 35960 43471 46469 59960 86942 92938 173884 185876 217355 232345 347768 371752 434710 464690 869420 929380 1347601 1738840 1858760 2695202 5390404 6738005 10780808 13476010 26952020 53904040