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53460224 = 281929379
BaseRepresentation
bin1100101111101…
…1110100000000
310201121001122022
43023323310000
5102141211344
65145501012
71216255466
oct313736400
9121531568
1053460224
11281a4504
1215aa1768
13b0ca38c
147158836
154a600ee
hex32fbd00

53460224 has 72 divisors (see below), whose sum is σ = 116508000. Its totient is φ = 24385536.

The previous prime is 53460181. The next prime is 53460233. The reversal of 53460224 is 42206435.

53460224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53460193 and 53460202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140867 + ... + 141245.

Almost surely, 253460224 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 53460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254000).

53460224 is an abundant number, since it is smaller than the sum of its proper divisors (63047776).

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

53460224 is a wasteful number, since it uses less digits than its factorization.

53460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 53460224 is about 7311.6498822085. The cubic root of 53460224 is about 376.7126968399.

Adding to 53460224 its reverse (42206435), we get a palindrome (95666659).

The spelling of 53460224 in words is "fifty-three million, four hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 379 464 551 608 758 928 1102 1216 1516 1856 2204 2432 3032 3712 4408 4864 6064 7201 7424 8816 10991 12128 14402 17632 21982 24256 28804 35264 43964 48512 57608 70528 87928 97024 115216 141056 175856 208829 230432 351712 417658 460864 703424 835316 921728 1406848 1670632 1843456 2813696 3341264 6682528 13365056 26730112 53460224