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53310642 = 237112329173
BaseRepresentation
bin1100101101011…
…1010010110010
310201022110110020
43023113102302
5102121420032
65142344310
71215063420
oct313272262
9121273406
1053310642
1128102090
1215a2b096
13b077278
14711a110
154a30b2c
hex32d74b2

53310642 has 128 divisors (see below), whose sum is σ = 144322560. Its totient is φ = 12714240.

The previous prime is 53310641. The next prime is 53310679. The reversal of 53310642 is 24601335.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53310641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308068 + ... + 308240.

It is an arithmetic number, because the mean of its divisors is an integer number (1127520).

Almost surely, 253310642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53310642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72161280).

53310642 is an abundant number, since it is smaller than the sum of its proper divisors (91011918).

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

53310642 is a wasteful number, since it uses less digits than its factorization.

53310642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53310642 is about 7301.4136987299. The cubic root of 53310642 is about 376.3610205742.

Adding to 53310642 its reverse (24601335), we get a palindrome (77911977).

It can be divided in two parts, 533 and 10642, that added together give a triangular number (11175 = T149).

The spelling of 53310642 in words is "fifty-three million, three hundred ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 29 33 42 46 58 66 69 77 87 138 154 161 173 174 203 231 253 319 322 346 406 462 483 506 519 609 638 667 759 957 966 1038 1211 1218 1334 1518 1771 1903 1914 2001 2233 2422 3542 3633 3806 3979 4002 4466 4669 5017 5313 5709 6699 7266 7337 7958 9338 10034 10626 11418 11937 13321 13398 14007 14674 15051 22011 23874 26642 27853 28014 30102 35119 39963 43769 44022 51359 55187 55706 70238 79926 83559 87538 102718 105357 110374 115391 131307 154077 165561 167118 210714 230782 262614 306383 308154 331122 346173 386309 612766 692346 772618 807737 919149 1158927 1269301 1615474 1838298 2317854 2423211 2538602 3807903 4846422 7615806 8885107 17770214 26655321 53310642