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53342464 = 287172103
BaseRepresentation
bin1100101101111…
…1000100000000
310201101002002211
43023133010000
5102123424324
65143151504
71215255250
oct313370400
9121332084
1053342464
1128123a8a
1215a45594
13b0888b6
147127960
154a3a294
hex32df100

53342464 has 108 divisors (see below), whose sum is σ = 130521664. Its totient is φ = 21307392.

The previous prime is 53342453. The next prime is 53342483. The reversal of 53342464 is 46424335.

Its product of digits (34560) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 517837 + ... + 517939.

Almost surely, 253342464 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 53342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65260832).

53342464 is an abundant number, since it is smaller than the sum of its proper divisors (77179200).

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

53342464 is a wasteful number, since it uses less digits than its factorization.

53342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 53342464 is about 7303.5925406611. The cubic root of 53342464 is about 376.4358910424.

Adding to 53342464 its reverse (46424335), we get a palindrome (99766799).

The spelling of 53342464 in words is "fifty-three million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 103 112 119 128 136 206 224 238 256 272 289 412 448 476 544 578 721 824 896 952 1088 1156 1442 1648 1751 1792 1904 2023 2176 2312 2884 3296 3502 3808 4046 4352 4624 5768 6592 7004 7616 8092 9248 11536 12257 13184 14008 15232 16184 18496 23072 24514 26368 28016 29767 30464 32368 36992 46144 49028 56032 59534 64736 73984 92288 98056 112064 119068 129472 184576 196112 208369 224128 238136 258944 392224 416738 448256 476272 517888 784448 833476 952544 1568896 1666952 1905088 3137792 3333904 3810176 6667808 7620352 13335616 26671232 53342464