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53410464 = 25321710909
BaseRepresentation
bin1100101110111…
…1101010100000
310201111112101100
43023233222200
5102133113324
65144434400
71215660432
oct313575240
9121445340
1053410464
1128170088
1215a78a00
13b0b0833
147144652
154a504c9
hex32efaa0

53410464 has 72 divisors (see below), whose sum is σ = 160835220. Its totient is φ = 16754688.

The previous prime is 53410459. The next prime is 53410477. The reversal of 53410464 is 46401435.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 3600 = 7308^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 10350.

Almost surely, 253410464 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 53410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80417610).

53410464 is an abundant number, since it is smaller than the sum of its proper divisors (107424756).

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

53410464 is a wasteful number, since it uses less digits than its factorization.

53410464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53410464 is about 7308.2463012682. The cubic root of 53410464 is about 376.5957809890.

Adding to 53410464 its reverse (46401435), we get a palindrome (99811899).

The spelling of 53410464 in words is "fifty-three million, four hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 10909 21818 32727 43636 65454 87272 98181 130908 174544 185453 196362 261816 349088 370906 392724 523632 556359 741812 785448 1047264 1112718 1483624 1570896 1669077 2225436 2967248 3141792 3338154 4450872 5934496 6676308 8901744 13352616 17803488 26705232 53410464