Search a number
-
+
53071008 = 25317311049
BaseRepresentation
bin1100101001110…
…0110010100000
310200212021201220
43022130302200
5102041233013
65133255040
71213044654
oct312346240
9120767656
1053071008
1127a59041
1215934480
13acc2183
147096a64
1549d4b23
hex329cca0

53071008 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 16097280.

The previous prime is 53071003. The next prime is 53071019. The reversal of 53071008 is 80017035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53071003) 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, 50068 + ... + 51116.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 253071008 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 53071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

53071008 is an abundant number, since it is smaller than the sum of its proper divisors (99338592).

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

53071008 is a wasteful number, since it uses less digits than its factorization.

53071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 53071008 is about 7284.9851063678. The cubic root of 53071008 is about 375.7962529754.

The spelling of 53071008 in words is "fifty-three million, seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1049 1054 1488 1581 1632 2098 2108 2976 3147 3162 4196 4216 6294 6324 8392 8432 12588 12648 16784 16864 17833 25176 25296 32519 33568 35666 50352 50592 53499 65038 71332 97557 100704 106998 130076 142664 195114 213996 260152 285328 390228 427992 520304 552823 570656 780456 855984 1040608 1105646 1560912 1658469 1711968 2211292 3121824 3316938 4422584 6633876 8845168 13267752 17690336 26535504 53071008